{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b7c93cc7-c9a3-468d-a4c9-b2e6655660a6",
   "metadata": {},
   "source": [
    "Chapter 14\n",
    "# 补图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c4912411-5e64-47e9-a70f-f29c1b43915f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "58a35897-860b-4c58-965b-0597a2764dff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "36\n"
     ]
    }
   ],
   "source": [
    "# 创建完全图\n",
    "G = nx.complete_graph(9) \n",
    "print(len(G.edges))\n",
    "\n",
    "# 随机删除一半边\n",
    "edges_removed = random.sample(list(G.edges), 18)\n",
    "G.remove_edges_from(edges_removed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "33582768-5788-4580-9b8d-3b594cd8618a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wWFDb2dlBR0dH7BwvXrzAjBkzsG7dOhgbG2P37t3w9vaWyS1jlmUxaNAgXLhwAX///Xep73DIWmhoKMLCwvDgwYMy71BFiMqQZIcYURz//PMPW6lSJbZ///5sQUHBd99Xmm7avLw8tk+fPmyVKlXY//77TxrlysynT5/Yq1evstu2bWMnTZrEurm5sWZmZqJubzU1NdbKyor19PRkJ0+ezIaEhLC6urqsrq4uu3DhQjY3N1em9f72228sAHbHjh0yPW9pu6yFcnJyWB0dHXbu3LlSrowQ+VPaDKUrZBV0+/Zt9OnTB+3atcP69esrfCWnrq6O2NhYdOzYEa6urjh//rzUn5lKi5aWFho2bIiGDRuKvf7+/XvR8+mUlBQcO3YMiYmJoqvpSpUqITY2FleuXBG7ojY2NpZaI1lsbCx+++23Ct3hkBVdXV14enpCIBBg4sSJctFwRoi8oUBWMS9evICLiwvq1q0r0bWNq1SpgqSkJLRq1Qpubm44ceIEqlWrJpFjy4OqVauiVatW0NTURGxsLK5du4YePXpg6tSpyMvL+24jWdWqVUWNZEWDWl9fv0KhdPLkSQwcOBChoaGYNGmSpD6mVDEMg7i4OFy4cAGtWrXiuhxC5A4FsgoRNv+UdryprOrXr4/k5GS0bdsWAQEBiI+Ph4aGcvwVy87OxpQpUyAQCGBnZ4dDhw6JPZPu1KmT6H+z/2skK/p8+vLly9i2bZuokax27dpiI1mOjo5wcHCAnp7eT2sRjje1bdsWGzZsUJirzS5duqBBgwYQCAQUyISUQDl+WpKfYss53lRWjo6O2L17N1xcXBAeHi7TcShp+PjxIxYvXowFCxagcuXKWL16NQYPHvzDXzSKNpL16tVL9Hp+fj7u3LkjFtRHjx7FunXrRLe+jYyMigW1ra2tqJFMuHuTvr6+THdvkgR1dXUEBwdj/fr1WLp0aYX2dyZEKUnygTSRX7/++isLgN25c2eZvq+szTtC69atYwGwK1asKNP3yYv8/Hw2JiaGNTQ0ZCtVqsRGRkayr1+/lsq5Pn36xF65coWNjY1lJ06cyLq6urKmpqZijWTW1tash4cHa2xszOrq6rKHDx9mv379KpV6SqO8fy/S0tJYAOyuXbukVBkh8oeauohIdHQ0Zs6ciblz58LPz08m5xw6dKhoHMrMzAxubm4yOa8knDp1CuHh4fj333/h7e2NBQsWSHW3JC0tLTRq1AiNGjUSe/3du3e4ceMGUlJSkJKSgl27duHJkycAgO7du0NTUxN2dnbFrqiNjY3l9ja2ra0tWrZsCYFAAF9fX67LIUSuUCAruX/++QeDBg3CgAEDMHHiRJmee+HChbhz5w4CAgJw8uRJNGnSRKbnL6u7d+9iwoQJ2L17N5o1a4YTJ06gffv2nNVTrVo1tGrVCq1atcJvv/2GJ0+eYMeOHXB2dsb169fFbn0nJSXh7du3ou8r2kgmDGp9fX3OPktRDMNg1KhRePLkCerVq8d1OYTID0lebhP5cvPmTbZGjRqss7Mz++XLl3Ido7y3JoU+fPjANm/enDUwMGAfPHhQrmNI25s3b9jx48ezmpqarIGBASsQCNj8/HyuyxKJiYlhAfxwhregoIDNyspiDx48yC5YsIANDg5mmzRpwmppaYlufdepU4ft3LkzO3LkSHbDhg3s6dOn2Tdv3pSrpor8vXj58iWrqanJLl68uFznJkTR0G5PKu7Fixdo3bo1NDU1cebMmTIvAylU2l19fuTJkydo1aoVatSogZMnT8rNOFReXh42b96MX3/9FR8+fMD48eMRGRkp1Q0gyurEiRPo2rUrgoODsXnz5jLfis7LyyvWSJaamorbt2+joKAAAGBsbCx2NS1ckexHTVcV/Xvh6+uLW7du4erVq3J7e50QSaHdnlTYp0+f0KdPH7x9+xbnz58vdxhLSr169ZCcnIw2bdqIdofiehzqzz//REREBK5fvw6GYTBnzhw0aNCA05q+dfv2bXh6eqJ9+/ZYt25duYJLQ0MD1tbWsLa2hre3t+j1T58+4datW2JBvXPnTixcuBBA4S5NVlZWxYLa0tJSIv/uGIaBm5sbrly5IvePMgiRFQpkJcP+b7zp0qVLOHbsGMzMzLguCQDA5/NF41BjxozBqlWrOLkyunHjBiIjI3Ho0CG0b98eFy9eRLNmzWRex88IF3DR19fHnj17JD7epK2tXWIj2du3b0VbWwrDet26dXj27BmAwgY0Ozs71K9fH0DhAiW1atUqcyNZjx49oK+vD4FAQIFMiJAk738T7k2bNk2iYyUVfYb8rfXr17MA2OXLl0vkeKX1/Plzdvjw4ay6ujprbm7O7t2794dreHPp06dPbLt27dg6deqwmZmZXJfDsizLPn36lP3777/ZFStWsGFhYayjo6Po2TQAtlq1aqyTkxMbFhbGrlixgj169Cj79OnTHx4zPDycrV27Nvv582cZfQpCuFHaDKVAViICgYAFwM6bN09ix5R0ILMsy0ZGRrI8Ho9NSEiQ2DG/59OnT+yiRYtYPT09Vk9Pj128eDH76dMnqZ+3vAoKCtjAwEBWS0uLPXPmDNflfJfw78WBAwfY5ORkdv78+WxQUBDbuHFjsUYyfX191tnZmR01ahS7ceNG9syZM6KfI1evXmUBsPHx8Rx/GkKkiwJZxRw7doytVKkSO3DgQIle+UkjkPPz81lPT0+2cuXKEj1uUQUFBezevXtZCwsLVl1dnR0xYgT77NkzqZxLkqZPn16uBVxk7Ud/L75+/crevHmT3bNnDzt9+nTW29ubtbGxYdXU1ERBbWJiwrq4uLD6+vps8+bN2cuXL8t8pyxCZIUWBlEht27dgpeXFzp06FDu5h9ZUlNTQ2xsLDp16iTaHUqSe+ReunQJ4eHhOHHiBHr16oXExETY29tL7PjSItyfWpYLuEiDhoYGbGxsYGNjU6yR7ObNm2LPp798+YKLFy+iSZMmokYy4QYcwj8WFhacNwESIgv0t1zBCZt/6tWrhz179qBSpUpcl1QqlStXRmJiIlq1agVXV1ecOnWqwuNQjx49wuTJkxEdHQ0HBwf88ccf6NGjh4Qqlq4TJ05g4MCBnCzgIiva2tpo3LgxGjduLHrt2bNnaNCgAUaNGgVbW1tRUK9evRovXrwA8P+NZN8GtZGRkdz/8klIWVAgKzB5G28qK+E4VNu2bSs0DvXhwwcsXrwYCxcuRJUqVbBu3ToMGjRIYa6qhPtTt2/fXiL7UysSfX199O7dG//88w+WLFki9rVnz56JXU2npqZi//79eP/+PYDCPZYdHByKBXWdOnW4+CiEVJhi/MQixbByOt5UVsJxqN69e5d5HKqgoACxsbGYPHkynj9/jjFjxmDy5Mml2sJQXhS9w7F3716FucMhSQzDwNvbG9evX4eDg4PodX19fTg7O8PZ2Vn0GsuyyMrKEgV0SkoKzp8/j6ioKHz58kX0fUX3nubz+XBwcJCbBWkI+R4KZAU1ffp0bN++Hbt370br1q25LqdCunfvjrVr12LIkCGwsrLC6NGjf/o9J0+exNixY3Hp0iX4+vpiwYIFCvdLifAOR05OjkLe4ZAUFxcX1KxZEwKBQLQwyffweDyYmJjAxMQELi4uotfz8vKQkZEhFtSHDh3CqlWrRCuSmZiYFAtqW1tbaGlpSfXzEVJaFMgKSCAQYNasWZg/fz58fHy4LkciBg8eLLY7lLu7e4nvu3PnDsaPH4+9e/eiefPmOHnyJNq1ayfjaiuOZVkMHDhQ4e9wSIKWlhYCAgIQGxuLuXPnlutRg4aGBmxtbWFrayv230Rubq6okUwY1Nu2bcODBw8AFO7RLFyRrGhQW1hYQF1dXWKfkZBSkWTLNpE+aY03fY80xp6+Jz8/n/Xy8mIrV67MXrx4Uexrr1+/ZiMjI1lNTU3W0NCQjYmJkasNIMpKuD+1ou4LLOm/F//++y8LgD148KBEjvczb968YU+fPs1u2LCBHTlyJNupUye2Vq1aorEsbW1ttkmTJmxwcDC7cOFC9uDBg2xWVpbcLiZD5BuNPSmhmzdvwtPTU2HGm8pKTU0NMTEx6NSpE9zc3HD+/HnUr18fGzduxPTp0/Hx40dMnToVERERqFy5Mtfllptwf+p58+bRnsD/06xZM9jb20MgEKBXr15SP5+enh7atGmDNm3aiF5jWVbUSFa0mezbRrKiW1oK/3ft2rWlXjNRfhTICuL58+dwcXGBgYGBQo03lVXRcaiOHTuiUqVKSE9PR2hoKGbPng0DAwOuS6wQ4f7UAwcOxIQJE7guR27weDwwDINff/0Vb9684eR5Oo/HQ926dVG3bl106dJF9HpBQYFYI1lqairOnTsn1khWt27dYkFtb29PjWSkTCiQFYCw+ef9+/c4cuSI0jf/vHz5EoaGhjhz5gxq1qyJc+fOoWXLllyXVWG3bt1S6jscFRUUFIRJkyZh165dGDx4MNfliKipqcHU1BSmpqZwdXUVvf7161exRrLU1FQcPHgQK1euBPu/XW1NTU2LBbWNjQ01kpESUSDLuYKCAvTv3x///fcfjh8/rtTNP8+fP8evv/6KjRs3wtzcHNOnT8fs2bMhEAjQokULhQ4wRV3ARZYMDAzQvXt3CAQCuQrk76lUqRLs7OxgZ2cn9ughNzcXaWlpYre+Y2Nj8fDhQwCFjWTW1tbFgtrc3JwayVQcBbKcmz59Onbs2IHdu3ejVatWXJcjFZ8/f8bKlSsxe/ZsqKmpYfHixRgxYgQ0NTXRoEEDDB48GFZWVhgzZgzXpZaLoi/gIksMwyAgIAC3b9+GtbU11+WUi46ODpo2bYqmTZuKvf7mzRtcv35dLKhXrFiBV69eAShcycze3l5skRNHR0c0aNBAoX8ZJaVHgSzHoqKiMHv2bCxYsEBpxpuKYlkWe/fuxfjx45GVlYVhw4Zh+vTpYg0yYWFhSE9PR3h4OMzMzODh4cFhxWXHKskCLrLi4eEBPT09REdHY/bs2VyXI1HVq1dH27Zt0bZtW9FrLMvi6dOnYre9U1JSsHfvXnz48AFAYQNa0ZAWBnWtWrW4+ihESiiQ5dSxY8cwePBgDBo0COPGjeO6HIn7999/ER4ejlOnTsHFxQUHDx6Era1tie+dP38+7ty5g8DAQJw4cQLNmjWTcbXlp0wLuMiCjo4O/Pz8EBMTg5kzZ0JNTY3rkqSKx+OhXr16qFevHrp27Sp6vaCgAPfv3xcL6jNnzuD333/H169fARQuPfttUDs4OKBq1aplqqGggEXStWzEXcjCw9cfYVijMgJbGsOtoQHU1OjKXJYokOXQzZs34eXlhY4dO2Lt2rVKdbvq4cOHmDx5MmJiYuDo6IjDhw+jW7duP/weNTU1REdHo3PnzqJxKEnuDiUt0dHRSreAiywwDINNmzbh+PHjYstmqhI1NTWYmZnBzMwMbm5uote/fv2K9PR0saA+cOAAVqxYIWokMzMzK3Y1bWNjA01NzWLnKShgMWbnZSReeww1HlDAAo9zPuH83Vc4evMZlvs1plCWIQpkOaOs400fPnzAwoULsWjRIlSrVg0bNmzAwIEDS93EUrlyZSQkJKB169ZwcXHBqVOnoKurK+Wqy+/48eOi8abx48dzXY5CadOmDSwtLREVFaWygfw9lSpVgr29Pezt7cW26Pz48aNYI1lqaiqio6Px6NEjAIUrmRVtJBMGdcpbLSReewygMIyL/jPxaja62OrDo3EDmX5GVUaBLEeKjjcdPXpUoTZJ+J6CggJER0dj8uTJePXqFcaOHYtJkyaVK0yFu0O1adMG/v7+SEpKkssdnRRtf2p5I5xJnjdvHtasWUOzvKVQuXJlNGvWrNjjnNevX4s1kqWmpuLIkSOiRrL6QQugaWAHlPBoQI0HxF3IokCWIeV+QKNACgoKEBoaiv/++w+JiYkwNTXluqQK++eff9CiRQv0798fHTp0wM2bNzFv3rwKXdk6ODhgz549+OuvvzBq1CjRbTp58fz5c/Tu3Rv169dXqjscshYcHIyPHz9i7969XJei0GrUqIF27dph6NChWL16NY4fP44XL14gOzsbhw8fRi1j6xLDGCi8Un74OlfGFas2CmQ58euvv2Lnzp2IjY1V+PGmjIwMeHl5oVOnTtDQ0MDp06exY8cOif2S0a1bN6xbtw7r1q3D8uXLJXJMSSh6h+PAgQM03lQBJiYm6Ny5MwQCAdelKB0ej4f69eujW7dusDepi+89IlbjAYY1dGRbnIqjQJYDUVFRmDNnDhYsWABvb2+uyym3N2/eICIiAvb29rh48SK2bduGs2fPiq0XLClhYWEYP348IiIikJCQIPHjl1XRBVwSExNpvEkCQkNDcfz4cdy9e5frUpRWYEtj0TPjbxWwhV8nskOBzLFjx44hLCwMYWFhCjve9PXrV6xevRqWlpbYsGEDpk+fjps3byIwMFCqYyvz5s2Dl5cXAgMDcfHiRamdpzSEC7jExMQo/B0OeeHl5YUqVaogJiaG61KUlltDA7g3KlwfXvhfqvCf7o0M4NZQsdeOVzQUyBwSjjd17twZa9asUbjmH5ZlcfDgQTRs2BCjRo1Cnz59kJ6ejilTpshkNybh7lB8Ph9ubm7IysqS+jlLIhAIlHoBF65UrVoVPj4+iI6OlrteAWWhpsbDcr/GWOHfGHZ1NJGX8wx2dTSxwr8xjTxxgAKZI8LmHwMDA+zevVvhmn9SU1PRo0cPuLi4oH79+vjvv/+wefNm1K9fX6Z16OjoIDExEVpaWnB1dcXbt29lev7jx48jLCxMaRdw4RrDMMjMzMTp06e5LkVpqanx4NG4AWZ1qoVH6wZgVqda8GjcgMKYAxTIHPj06RM8PDzw8eNHJCcnK9R407NnzzB06FA0atQI9+7dQ0JCAo4ePYrGjRtzVlPdunVx8OBB3L9/H/7+/sjLy5PJeYX7UyvjAi7yomPHjjAxMaHmLqISKJBlTDjedOXKFYUab/r8+TMWLFgAS0tL7Ny5E0uWLEFqairc3d3lIojs7e2xd+9eHDlyBCNHjpT6LU5lXcBF3qipqSEkJAQ7d+7Ex48fuS6HEKmiQJaxadOmYdeuXYiJiVGIPX6Fwebt7Y2pU6eif//+yMjIwJgxY0pcio9LXbt2xbp167B+/XosW7ZMaucpOt6kaHc4FFFISAjevXuH+Ph4rkshRKrkb5kjJbZ161bMnTsXCxcuVIjxpgsXLiAsLAwAYGlpiWPHjsHGxobjqn5s0KBByMjIQGRkJMzNzdGnTx+JHv/b/akV5Q6HIrO0tETbtm0hEAgQGBjIdTmESA1dIcvI33//jcGDB2Pw4MGIjIzkupwfevDgAYKCgtCqVSvRbcLly5fLfRgLzZ07F97e3lIZhxKONynDAi6KhGEYHDlyRLQ2MyHKiAJZBtLS0uDt7Y3OnTtj9erVcvHMtSTv37/HtGnTYG1tjSNHjmDTpk2Ii4vjuqwyE+4O1bBhQ4mOQxXdn1oR7nAoEz8/P2hqatJMMlFqFMhS9uzZM7i4uKBBgwZyO96Un5+PrVu3wtraGosWLUJ4eDjS09MxaNCgUu/GJG90dHSQkJAAbW1tuLi4VHgcSrg/tSIv4KLI9PT04OnpCYFAQDPJRGlRIEtRbm4u+vTpI9fjTceOHUPz5s0xYMAAdOzYEbdu3cKcOXOUYoedunXrIjk5GQ8ePICfn1+5x6GEC7h06tRJIRdwURYMw+DmzZv4999/uS6FEKmgQJaSb8ebTExMuC5JTHp6Ovr06QNnZ2doa2vjzJkz2L59u9zVWVH29vbYs2cPjh49Wq5xKEVfwEWZdO3aFQYGBjSTTJQWBbKUTJs2Dbt370ZsbKxcjTe9fv0aY8eOhb29PS5fvozt27fjzJkzcHJy4ro0qenatSvWr19f5nEoRV7ARRmpq6sjODgY27dvx+fPn7kuhxCJo0CWgqLjTV5eXlyXA6BwA4hVq1bB0tISmzdvxsyZM3Hz5k307dtXJW7BDhw4EBMnTkRkZCT279//0/cr6gIuyo5hGLx+/RpJSUlcl0KIxFEgS5hwvGnIkCGIiIjguhywLIsDBw7A0dERo0ePhpeXF9LT0zFp0iTo6KjWXqdz5syBj48P+vXr99PnkL/++qtCLeCiKuzs7NCiRQu6bU2UEgWyBKWlpcHLywvOzs5YtWoV51ee165dQ/fu3eHm5gZDQ0NcvnwZmzZtQr169TitiytqamoQCARo2LAh3N3dcf/+/RLft3XrVqXYn1pZMQyDQ4cO4enTp1yXQohEUSBLyLNnz9C7d28YGRlh165dnDb/PHnyBIMHD0aTJk2QlZWFxMRE/PXXX2jUqBFnNckL4e5Q2tracHV1RU5OjtjXFWkBF1XVt29fqKurK+SMPCE/QoEsAbm5ufDw8EBubi4OHDjAWfNPbm4u5s2bBysrK+zZswfLli1Damoq3NzcOL9alyf6+vpi41Bfv34FUDjepAgLuKi6WrVqwc3NDVFRUVyXQohEUSBXUEFBARiGwdWrV5GUlMTJ2BDLstixYwfs7Ozw66+/itZzHjVqFI3pfIdwd6i///4bI0eOFN3hkOcFXMj/YxgG165dw5UrV7guhRCJoUCuoKlTp2LPnj3Ytm0bWrRoIfPznzt3Dm3atEFAQAAaN26M69evY9myZahZs6bMa1E0Xbp0wfr167Fhwwa0bNmSxpsUSM+ePVGnTh1q7iJKhQK5An7//XfMmzcPixYtgqenp0zPnZWVhcDAQDg5OSE3NxdHjx5FfHw8rK2tZVqHouvfvz/s7Oxw//59hIeHK93CKMqqUqVK6NevH7Zt2yZ65ECIoqNALqejR49iyJAhGDJkCMLDw2V23nfv3mHKlCmwsbHBsWPHsGXLFly6dAnOzs4yq0GZTJs2DWlpaXBycsJvv/1GyzIqkNDQUDx//hyHDh3iuhRCJIICuRxu3LgBb29vdOnSRWbNP/n5+diyZQusra2xdOlSRERE4Pbt2xgwYIDCbgDBNeECLosWLcLRo0fRqFEjuLm5fXccisiXRo0aoVGjRnTbmigNCuQyevr0KVxcXETjTRoaGlI/599//41mzZph0KBB6NKlC27duoXZs2crxQYQXCk63hQRESHaHapy5coljkMR+cQwDJKSkvDy5UuuSyGkwiiQy0A43vTp0yckJydDV1dXque7ffs23N3d0aVLF1SpUgXnzp1DbGwsjI2NpXpeZVd0AZeidzi+Nw5F5FdgYCAKCgqwY8cOrkshpMIokEtJON507do1JCUlSTUUX716hTFjxsDBwQHXrl3Dzp07cerUKbRq1Upq51QVwv2pv7eAi52dHfbt2ycah6K9d+Vb3bp10bt3b7ptTZQCBXIpTZkyBXv27EFcXByaN28ulXN8/foVK1asgKWlJX7//XfMmjULN2/ehJ+fHy1SIQHCOxwfP3784QIuzs7O2LBhAzZs2IAlS5bIuEpSVgzD4N9//8WNGze4LoWQCqFALoUtW7Zg/vz5WLx4Mfr06SPx47Msi8TERPD5fISHh8PX1xfp6emYOHEitLW1JX4+VSTcvam0C7gMGDAAkyZNwvjx47Fv3z4ZVUnKw9XVFTVq1KCrZKLwKJB/4siRIxg6dCiGDh2KsWPHSvz4V65cQdeuXeHh4QFjY2NcuXIFGzZsQN26dSV+LlU2depU7N69u0wLuMyePRu+vr4ICgrChQsXpFwhKS8tLS0EBAQgNjYW+fn5XJdDSLlRIP/AjRs34OPjg65du0p896bHjx9j0KBBaNq0KbKzs3HgwAEcPnwYjo6OEjsHKVTeBVzU1NQQFRWFRo0a/XB3KMI9hmGQnZ2NI0eOcF0KIeVGgfwdwvEmY2Nj7Ny5U2LjTbm5uZgzZw6srKywf/9+rFy5EteuXYOLiws9J5aCii7gUnQcysXFhcah5FSLFi1gZ2dHG04QhUaBXIKi400HDhyQyHgTy7KIi4uDjY0NZsyYgSFDhiAjIwO//PILbWQgJWlpaRJZwEU4DvXw4UP4+vrSOJQc4vF4YBgG8fHx9EsTUVgUyN8oKChASEiIRMebzp49CycnJ/Tr1w/NmzfH9evXsWTJEtSoUUMCFZOSfLs/dUXvcAjHoY4dO4YRI0bQOJQcCgoKwpcvX7Br1y6uSyGkXCiQvzF58mTs3btXIuNN9+/fR9++fdGmTRt8+fIFx44dw759+2BlZSWhaklJpLWAi7OzMzZu3IhNmzZh8eLFEjkmkZwGDRqga9eu1G1NFBYFchGbN2/GggULKjze9PbtW0yePBk2NjY4ceIEtm7din///RedOnWSWK2kZN/uTy3pBVz69++PyZMnY/z48di7d69Ej00qLjQ0FKdPn0Z6ejrXpRBSZhTI/yMcbxo2bFi5x5vy8/OxadMmWFlZYfny5ZgwYQJu376N0NBQ2gBCRoQLuGzbtk1qC7jMmjUL/v7+NA4lh/r06QNdXV1ER0dzXQohZUaBDOD69evw9vZGt27dsHLlynI1/xw5cgRNmjTB4MGD0b17d9y6dQszZsxA1apVpVAxKUnRBVykuT+1cByqSZMmcHNzw71796R2LlI2Ojo68PPzQ3R0NAoKCrguh5AyUflAFo43mZiYlGu86ebNm3Bzc0O3bt2gq6uLCxcuICYmBkZGRlKqmJTk6NGjUl3A5Vva2tpISEhA1apVaRxKzjAMg6ysLPzzzz9cl0JImah0IH/8+BHu7u748uVLmZt/Xr58iVGjRsHR0RGpqanYtWsXTp48WepVoIjkCPenlsYCLj9Sp04dJCcnIzs7m8ah5Ejbtm1hYWFBzV1E4ahsIAvHm1JTU5GUlFTqK9ovX75g2bJlsLS0RFRUFObMmYO0tDT4+vrSwh4ckNYCLqVla2tL41ByRjiTvGfPHrx//57rcggpNZUN5MmTJ2Pfvn2Ii4tDs2bNfvp+lmURHx8PBwcHREZGom/fvsjIyMD48eNpAwiOSGMBl/Lo3LkzNm3aRONQciQ4OBgfPnygTniiUFQykDdt2oQFCxZgyZIl8PDw+On7L1++DGdnZ3h6esLCwgLXrl3DunXroK+vL4NqSUmksYBLRYSGhmLKlCkYP3489uzZw2ktBDA1NUWnTp3otjVRKCoXyH/99ReGDRuG4cOHY8yYMT987+PHjzFgwAA0a9YMT58+xcGDB/HHH3/AwcFBNsWS75oyZYrEFnCRlJkzZ8Lf3x/BwcE4f/481+WoPIZhcOzYMdoUhCgMlQrk69evw8fHB927d8eKFSu++8z348ePmDVrFqysrJCYmIjVq1fj2rVr6NWrl4wrJiXZvHmzVPenLi/hOFTTpk3h7u5O41Ac8/HxQZUqVWgmmSgMlQlkYfOPqakpduzYUWLzT0FBAbZt2wYbGxvMmjULw4YNQ0ZGBoYPHy7zZiFSsiNHjmDYsGEVWsBFmrS1tREfHy8ah3rz5g3XJamsqlWrwtvbG9HR0dRsRxSCSgRy0fGm7zX/nD59Gk5OTggKCkLLli2RlpaGRYsWoXr16rIvmJSo6P7U5V3ARRZoHEp+MAyDjIwMnDlzhutSCPkppQ/kn4033b17F35+fmjXrh3y8/Pxzz//YO/evbCwsOCoYlISrsebysrW1hb79+/HP//8g+HDh9MVGkc6deoEY2Njau4iCkHpA3nSpEnYt28ftm/fLjbe9PbtW0ycOBG2trY4ffo0BAIBLly4gA4dOnBYLSmJ8A4H1+NNZdWpUyds2rQJmzdvxqJFi7guRyWpqakhJCQEO3fuRG5uLtflEPJDSh3ImzZtwsKFC7F06VK4u7sDAPLy8rBhwwZYWlpi5cqVmDRpEm7fvo2QkBCoqSn1/x0KqegdjgMHDnA+3lRWDMNg6tSpmDBhAo1DcSQkJARv375FfHw816UQ8kNKm0DC8aYRI0Zg9OjRAIDDhw+jSZMmGDp0KHr16oX09HT89ttvqFKlCsfVku8p6wIu8mjmzJno27cvjUNxxMrKCm3atKHb1kTuKWUgp6amisabli9fjps3b8LFxQU9evRAjRo18O+//0IgEKBBgwZcl0p+oKwLuMgrHo+HrVu30jgUhxiGwV9//YXs7GyuSyHku5QukJ88eQJXV1eYmppi7dq1GDNmDBwdHXHz5k3s2bMH//zzj9wsJEG+rywLuCgCGofilp+fHypVqoTY2FiuSyHku+S7VfUnCgpYJF3LRtyFLDx8/RH19bRwO/l3fPnyFe7u7mjcuDFYlsX8+fMxcuRIaGlpcV0yKYXSLuCiaOrUqYODBw/CyckJPj4+OHToECpVqsR1WSqhevXq8PT0RFRUFMaNG6c0f6eIclHYK+SCAhZjdl7G6J1X8O+9V3j05hMu3nuNt3xvaHQYhHnz5qNfv37IyMhAZGQkhbGCKM0CLorMxsYG+/btw4kTJzBs2DAah5IhhmGQlpaGixcvcl0KISVS2EBOupaNxGuPAQAFwp9pvMKPo2bWEisTTmPNmjWoU6cORxWSsirNAi7KQDgOtWXLFixcuJDrclRGt27dUL9+fWruInJLYQM57kIW1L5z14kHFvuuPcf9+/fpCkRBlHd/akUlHIeaOHEidu/ezXU5KkFdXR1BQUHYvn07Pn/+zHU5hBSjsIH88PXH/78y/gYLHm4+eAZTU1Po6enByckJYWFhWLFiBf7++288e/ZMtsWSnxIu4KLI401lNXPmTAQEBCAkJATnzp3juhyVwDAMXr16hQMHDnBdCiHFKOwDOsMalfE451OJoazGA5rbmWJjcjJSU1ORkpKCixcvIiYmRvSbcZ06dcDn80V/HB0d4eDgoLS3SeWZcAGXZcuWKfR4U1nxeDz8/vvvyMrKgru7O86fPw8zMzOuy1JqDg4OaN68OQQCAby9vbkuhxAxChvIgS2Ncf7uqxK/VsACoe2s0LuJIXr37i16PS8vD5mZmUhNTRUF9eHDh7FmzRoUFBQAAIyNjYsFta2tLbS1tWXyuVRN0fEm4QIuqkRbWxv79++Hk5MTXFxccObMGdrQRMoYhsHYsWPx7Nkz6Ovrc10OISIKG8huDQ1w9OYzJF7NhhqAAgBsQT54aur4cP04zu06hT5N5ol9j4aGBmxsbGBjYyP22/GnT59w8+ZNsaDesWMHsrKyABSuh2tlZVUsqC0sLJSuC1iWlHW8qayEu0PROJRsBAQEIDw8HHFxcUox406Uh8KmiZoaD8v9GqOLrT42/n0DVzMeQk8jDx+u/oEJbm0wblwkrCwtMXDgwJ8eS1tbG40bN0bjxo3FXs/JycGNGzfEgnrNmjV48eIFAEBLSwt2dnbFgtrIyEhlw6W0njx5IhpvUoTdm6TNxsYG+/fvR7du3TBs2DBs2rSJ/g5JSa1ateDm5gaBQECBTOSKQv8UVFPjwaNxAxgVPEWziO6YsXkzBq3ah2a//YKhQ4di6NChMDU1RZcuXcp1fGFDmJOTk9jrz549E4W08E9CQgLevXsHAKhWrZpYSAuDmkawCn073lStWjWuS5ILHTt2xObNm8EwDCwtLTFx4kSuS1JaDMPAw8MDV69eRaNGjbguhxAACh7I32rcuDHMzc0hEAiwefNm3Lt3D97e3jhz5gzs7e0ldh59fX04OzvD2dlZ9BrLssjKyhIL6QsXLkAgEODLly+i7/s2pO3t7VWqkaygoADBwcG4fv06Tp48qfTjTWUVEhKCjIwMTJo0CRYWFvD19eW6JKXUq1cv1KlTBwKBAEuXLuW6HEIAKFkg83g8MAyDhQsXYvXq1di5cyfatWsHFxcXnDt3DnXr1pXquU1MTGBiYgIXFxfR63l5ecjIyBAL6j/++AOrV68WNZKZmJgUu6JW1kayiRMnYv/+/YiPj0fTpk25LkcuzZgxA5mZmQgODoaRkRFat27NdUlKp1KlSggMDMS2bduwYMECemZP5IJSBTJQeIUxffp07Nu3DyEhIThw4ABatWoFDw8PHDt2DDo6OjKtR0NDA7a2trC1tYWPj4/o9dzcXLFGstTUVMTFxeHBgwcAChcx+LaRjM/nw9LSEurq6jL9DJKyceNGLFq0CMuXLxftT02K4/F42LJlC+7fv0/jUFLEMAxWrFiBP//8E66urlyXQ4jyBbKpqSk6duwIgUCAkJAQGBsbIykpCR06dEBISAh27twJNTXu10PR0dFBkyZN0KRJE7HXc3JycP36dbGgXr16tVgjmb29fbFb34aGhnLdBHT48GEMHz4cI0aMwKhRo7guR+4Jd4dq3bo1evfujbNnz9I4lIQ1btwYDRs2RFRUFAUykQtKF8gAEBoaigEDBuD+/fswMTFB8+bNERcXBy8vL0yZMgXz5s37+UE4oqenhzZt2qBNmzai11iWLbGRbP/+/Xj//j0AQFdXt8RGstq1a3P1UURSU1Ph6+uLHj16YPny5XL9i4M8qV27Ng4ePIjWrVvD29sbhw4dgqamJtdlKQ3hI65Jkybh1atXqFmzJtclERXH/aWiFHh7e0NHRwcxMTGi1/r06YPFixdj/vz52Lx5M4fVlR2Px0PdunXRpUsXjB49Gps2bcLZs2eRk5ODu3fvIikpCZMmTYKZmRnOnz+PyMhIODs7o06dOqhXrx66du2KMWPGYPPmzTh37pyoG1wWhONNZmZmSrl7k7RZW1tj//79OHnyJO0OJQX9+vVDfn4+duzYwXUphCjnFXK1atXg7e2N6OhoTJkyRXRFNnbsWGRkZGDYsGEwNTVF165dOa60YtTU1GBqagpTU1OxW255eXlIT08Xu5o+dOgQVq1aJWokMzU1LbGRTJLbVArHm/Ly8mi8qQK+HYeaNGkS1yUpjbp166Jnz54QCAQYPnw41+UQFaeUgQwUNmzExMTg7Nmzotu/PB4PK1euxN27d0XjUA4ODhxXKnkaGhqws7ODnZ2d2NhMbm4u0tLSxIJ627ZtYo1k1tbWYiFd3tvL3443GRoaSuSzqaqQkBBkZmZi8uTJsLCwgJ+fH9clKY3Q0FD4+voiLS0NdnZ2XJdDVJjSBnLnzp1hZGQEgUAg9jxWQ0NDbBzq/PnzUh2Hkic6Ojpo2rRpsXGjN2/eFGskW7lyJV6+fCl6T79+/dCyZUuxsP5RI5lwvCkhIYHGmyTkt99+Q0ZGBkJCQmBkZFRswRpSPm5ubqhRowYEAgHmz5/PdTlElbGlkJOTwwJgc3JySvN2mbt06RILgL106ZLY61OmTGF1dXXZjx8/FvuerKwstn79+mzLli3ZDx8+yKpUhVFQUMA+fvyYXbt2LQuA9fDwYFu1asVWqVKFBcACYPX09Ni2bduyQ4YMYVetWsUeO3aMff78ObthwwYWALt8+XKuP4bS+fTpE9uuXTu2Tp06bGZmJmd1fO+/OUU1bNgw1sDAgM3Ly+O6FM4o279TeVLaDFXKpi6hkJAQvH37FgkJCcW+ZmRkhKSkJKSmpiIkJET0bJUU4vF4qFevHlq1agUA+PXXX3Hu3Dm8ffsWd+7cQWJiIiZMmAATExOcPXsW4eHh6Ny5M+rUqYMhQ4bA0NAQd+/exZYtW3D+/HlRNzipGC0tLezfvx96enpwcXHB69evuS5JKTAMg+zsbBw9epTrUogKU+pAtra2hpOTEwQCQYlfb9asGeLi4rBv3z5MnjxZxtUpJjU1NZiZmcHNzQ2TJk3Ctm3bcPXqVXz48AHx8fHQ0dGBpaUlmjVrhoMHDyIsLAytW7dGtWrVYG5uDnd3d0yePBlxcXG4du2aaFlRUnq1a9dGcnIynj17Bh8fH/r/UAJatmwJW1vb7/6sIEQWlPYZshDDMBg+fDiys7NhYGBQ7OseHh5YsmQJwsPDYWFhgbCwMA6qVHwvX77EqFGjYG1tjZMnT4o6qj9+/FiskSwmJgYPHz4EUPhM/9tGMj6fD3Nzc4VdkUwWhONQXbt2xdChQ7Flyxaa764A4UzyjBkzkJOTAz09Pa5LIipI6QPZ398fo0ePRmxsLMaPH1/ie8aMGSM2DtWtWzcZV6nYPn78CDc3txLHmypXroxmzZqhWbNmYt/z5s2bYgudHDlyBK9evQJQ2ID27YpkfD4fDRo0oOD5nw4dOuD3339HcHAwrKysaByqgoKCgjB58mTs3r0bgwYN4rocooKUPpCrV6+OPn36QCAQYNy4cSX+MOfxeFixYgXu3r0LHx8fpR2HkoaCggIEBQUhLS2tTONN1atXR7t27dCuXTvRayzL4unTp0hJSREL6j179uDDhw+i7/s2pPl8PmrVqiWVzyfvgoKCkJGRgcmTJ8Pc3Bz+/v5cl6SwDA0N0bVrVwgEAgpkwgmlD2Sg8LZ17969cenSJTRv3rzE92hoaGDHjh1o3769yo1DVcSECROQkJCAhISEYutyl5WwkaxevXpidykKCgpw//59saA+ffo0tmzZgq9fvwIA6tWrB0dHR7GQtre3R9WqVStUkyKYPn06MjIywDAMjI2NaRyqAhiGEf2SY2lpyXU5RMWoRCB369YN9erVg0Ag+G4gA4XrQQt3h3J3d8exY8dQuXJlGVaqWDZs2IDFixdjxYoVUl2cX9hIZmZmJrZL1NevX5Geni4W1ElJSVi+fLloiUkzM7NiQW1jY6NUa0KXtDuUubk512UpJE9PT1SrVg3R0dGYOXMm1+UQFaMSgayhoYHg4GBs2bIFixcv/uHykMJxKOHuULt27ZKL3aHkzZ9//okRI0Zg5MiRnO3eVKlSJdjb28Pe3l7sVm3RRjJhWAsEAjx69AhA4d8HGxubYre9zczMFLaRTEtLS7Q7lIuLC86cOYMaNWpwXZbCqVy5Mvz8/BAdHY3ffvuN/tsnMqUSgQwU3opatGgRkpOT4eXl9cP3CsehPD09MWnSJCxYsEBGVSqGlJQU+Pr6omfPnli2bBnX5RTzvUay169fi1YkEwb14cOHRbO8Ojo6cHBwKBbUBgYGCtFIVqtWLbHdof744w+luhMgKwzDYMuWLThx4gQ6derEdTlEhahMIDs4OKBZs2YQCAQ/DWSgcBxq6dKlGDt2LCwtLWkc6n8eP34MV1dXWFhYYMeOHQp1RVmjRo0SG8mePHkiFtKpqanYtWsXPn78KPq+khrJ5HG7PisrK9E41JAhQ/D7778rxC8T8qRdu3YwNzeHQCCgQCYypTKBDBT+5hseHo7nz5+jTp06P33/6NGjkZ6eTuNQ//PhwwfR7k1JSUlK0TDF4/FQv3591K9fv1gj2b1798SC+uTJk9i0aRPy8vIAAPXr1y+xkaxKlSpcfRwAxcehaNGbshHOJC9cuBCrVq1Sir/nRDGoVCAHBAQgIiICcXFxGD169E/f/+041OnTp8Hn82VQqfzJz89HcHBwmcebFJWamhrMzc1Fq4sJffnyRbS1pTCoExISsGzZMrAsCx6PV2IjmbW1tUxvHwcFBSEzMxNTpkyBhYUFjUOVUUhICKZPn459+/YhJCSE63KIilCpQK5duzZcXV0RFRVVqkAGxHeHcnV1xblz51CvXj0pVyp/Vq5cKbHxJkWmqakJBwcHODg4iIXchw8fijWSbd26FdnZ2QD+v5Hs26A2MzOTWuPQr7/+KhqHMjIyEtv1jPyYqakpOnbsCIFAQIFMZEalAhkovG3dp08fXLt2DQ0bNizV91SrVg3Jyclo2bIl3N3dcfz4cZUbh4qNjcXKlSulOt6kyKpUqYLmzZsXG6t79eqV2NaWKSkp+PPPP0WNZJUrV4a9vX2xoK5fv36Fn/3yeDxs3rwZ9+/fh4eHB86dOwcLC4sKHVOVMAyDgQMHIisrC8bGxlyXQ1SAygVyr169ULt2bQgEAixZsqTU32doaIgDBw6gffv2CA4Oxu7du1ViJOLMmTMACpcgHTlyJMfVKJ6aNWuiffv2aN++veg1lmXx+PFjsdXIUlJSsGPHDuTm5gL4/0ayb4O6rKNMwt2hnJyc4OLigrNnz9I4VCn5+Pjgl19+QUxMDKZMmcJ1OUQFqFwga2pqIjAwENu2bcP8+fNRqVKlUn9v06ZNsX37dvTp0wcTJ07EwoULpVgp91JSUjBhwgQAQEREBMfVKA8ejwcDAwMYGBige/fuotcLCgpw9+5dsZD+559/sHHjRlEjmYGBQYmNZD+6Y1OrVi0kJyejdevW8PLywp9//knjUKVQrVo1eHt7QyAQYPLkydStTqRO5QIZAEJDQ7Fy5Ur8+eefZb4F6+7ujmXLlmHMmDGwtLTE4MGDpVQltx4/fgwXFxcYGRnh1q1bCjXepKjU1NRgYWEBCwsLeHh4iF7/8uULbt++LRbU+/fvF93h4fF4MDc3L3ZFbW1tLfqF08rKCvHx8TQOVUYMwyAmJgZnz56lZ/BE6lQykBs3bgxHR0cIBIJyPRMdNWoU0tPTMXz4cJiamopd5SiDDx8+wM3NDQUFBVi+fDl69erFdUkqTVNTUxSyRb1//15sa8uUlBRs2bIFjx8/BlC4kplwRTJhUM+fPx/h4eGwtLSk27Cl0LlzZxgZGUEgEFAgE6lTyUAWzhlOnjwZr169KvMCDzweD8uXL8fdu3fh6+urVONQ+fn56NevH27evIlTp06hoKCA65LId1StWhUtWrRAixYtxF5/+fJlsUayP/74A2/evAFQGNRTp07FX3/9BQ8PD1HY16tXj66av6Gmpobg4GCsWbMGy5cvh46ODtclESWm/F1J39GvXz/k5+dj586d5fp+4e5QZmZmcHFxwZMnTyRcITfGjx+PpKQk7Ny5E40bN+a6HFIOtWrVQocOHTB8+HCsXbsWJ0+exKtXr/Dw4UP88ccfmDt3LszNzXHixAlMnDgR3bt3h4GBAWrXro2OHTvil19+wfr163Hq1ClRN7gqYxgGOTk5SEhI4LoUouRU8goZKNyur2fPnhAIBBg2bFi5jlGtWjWx3aEUfRxq3bp1WLp0KVatWgUXFxeuyyESxOPx0KBBAzRo0AA9evTAyJEj0b17d9y4cQM7duzAu3fvRFfUx48fx4YNG0SNZA0aNCj2fPrTp08cfyLZsba2hpOTEwQCAfr27ct1OUSJqWwgA4W/+fr5+eHmzZuwtbUt1zEMDQ2RlJSE9u3bIygoCHv27FHIcag//vhDtHPTL7/8wnU5RMq0tLSwb98+ODk5YcSIETh79iz69Okj+vrnz5/FGslSU1Oxb98+LF68WOw4ERERaN++vSioraysyjS5oCgYhsHw4cORnZ0NAwMDrsshyoothZycHBYAm5OTU5q3y9ylS5dYAOylS5fK9H25ubls9erV2YkTJ1a4hsTERJbH47GRkZEVPpasXb16la1WrRrr5ubG5uXliX2tvP/fEsVw+/ZttmbNmmynTp3Yz58///T97969Y8+fP8/++uuvLAC2VatWbL169VgALAC2UqVKrKOjIxsQEMDOnTuXTUxMZO/cucPm5+fL4NNIz+vXr1ktLS124cKFXJciNfTfuvSUNkMV71JOgrS1tdG3b1/ExMQgPz+/Qsdyc3PDsmXLsHjxYmzYsEFCFUqfcPcmS0tLxMXF0XiTihGOQ505cwaDBw8Gy7I/fH/VqlXRsmVL0VjW2rVr8fjxYzx//hzHjx/HsmXL0LZtWzx48AALFiyAu7s7zM3Noauri1atWmHgwIFYvnw5jhw5gidPnvz0fPKievXq6NOnDwQCgcLUTBSPSt+yBgpvRa1fvx5///13hXdzGjVqFDIyMjBixAiYmpqiR48eEqpSOoqONynL7k2k7Nq3b4+tW7eiX79+sLS0xNSpU8t8DGFDWMeOHUWvsSyLR48eid32vnr1KuLi4kTPoGvVqiW63S18Ru3g4IDq1atL6uNJDMMw6N27Ny5dulRsiVRCJEHlA7lVq1awsbFBVFRUhQOZx+Nh2bJlonGoM2fOyO041LfjTQ0aNOC6JMKhwMBAZGRkYNq0abCwsEBAQECFj8nj8WBoaAhDQ0P07NlT9Hp+fj7u3LkjFtTHjh3D+vXrRXeqDA0NiwW1nZ0dp2NH3bp1Q7169SAQCCiQiVSofCALZ5JnzZqFt2/fQldXt0LH09DQwPbt29G+fXu4uLjg/Pnzcrk71Lhx45CUlITExEQabyIAgGnTpiEjIwOhoaEwNjZG27ZtpXIedXV1WFlZwcrKCp6enqLXP3/+jFu3bokF9d69e0WNZMKVzL4NaisrK2hoSP9HmYaGBoKCgrB161YsWbKElh8lEqfygQwAwcHBmDJlCnbv3o2BAwdW+HhFx6Hc3Nzwzz//yNU41Nq1a7Fs2TIabyJieDweNm3aJLY7lKWlpczOr6WlhYYNGxbbhe39+/diC52kpqZi06ZNotl/TU1N2NraFhvNMjY2lvjEA8MwWLx4MZKTk8V+mSBEEiiQUXh7rEuXLhAIBBIJZOExhbtDydM41KFDhzBy5EiMHj2axptIMSXtDlXWlewkrWrVqmjVqhVatWol9vqLFy/EQjo1NRXJycnIyckRfZ+Dg0OxK2p9ff1yr0jG5/PRrFkzREVFUSATiaNA/p/Q0FAEBQUhMzNTYnvGNmnSBDt27ICHhwcmTJiARYsWSeS45XX16lX4+fnBxcWlTFtPEtVSs2ZNsd2hDh8+LJe3Z2vXro1OnTqhU6dOotdYlsXDhw/FQvry5cvYtm2bqJGsdu3aYrtlOTo6wsHBAXp6eqU6L8MwCA8Px/Pnz1GnTh1pfDSioiiQ/8fT0xPVqlVDdHQ0ZsyYIbHjurq6YtmyZRg9ejQsLS0xZMgQiR27LLKzs+Hq6gorKysabyI/ZWlpifj4eHTp0gVhYWGIiopSiHWueTwejIyMYGRkJLYpSn5+PjIzM8WC+ujRo1i3bp2okczIyKjY1bStrW2xRrKAgABEREQgLi4Oo0ePlunnI8qNAvl/KleuDF9fX0RHR2P69OkSvb3M9TiUcLwJAA4cOEDjTaRU2rVrJxqHsrKyKtc4lLxQV1eHtbU1rK2t4eXlJXr98+fPuHnzplhQ7969W3Q3S01NDZaWlsWCunfv3hAIBBTIRKIokItgGAa///47Tp48KTZPKQnLli3DnTt3RLtDOTo6SvT435Ofn4/AwEDcvn0bp06domX/SJkEBgYiMzNTouNQ8kRLSwuNGjVCo0aNxF5/9+4dbty4gZSUFFFQb9iwAU+fPgVQ2HGdl5cHFxcXtG/fXhTUxsbGCnEngcgnCuQi2rVrB3NzcwgEAokHsrq6Onbs2IH27dvD1dUV586dQ/369SV6jpKMGzcOBw4cQFJSUrEfOoSUxtSpU0XjUEZGRmjXrh3XJUldtWrVSmwke/78Oa5fv47Lly9j8uTJuHz5Mk6dOoW3b9+Kvu97jWSE/AwFchFqamoICQnB4sWLsWrVKlSpUkWix69atSqSkpLEdoeS9DmKEo43rV69Gr1795baeYhy4/F42LhxI+7fv48+ffrg3LlzXJfEmTp16ogaye7du4edO3fixYsXePLkiWjv6dTUVFy6dAkxMTH4/Pmz6PtKaiSr6LoHRLlwP4cjZ0JCQvD+/Xvs27dPKscXjkOlpaUhKCiowmtof8/BgwcxcuRIjBkzBiNGjJDKOYjqEO4OVatWLbi4uIhGi1QZwzB4+vQpDh8+LGoiGz9+PKKjo/Hff//h/fv3uHXrFvbs2YMRI0agVq1a+OuvvzBs2DC0adMGenp6MDExgYuLCyZMmICYmBhcuXJFpba2JOLoCvkbZmZm6NChAwQCAYKDg6Vyjm/Hob7d0q6irl69Cn9/f7i6ukr82ER11axZEwcPHkSrVq0QGRnJdTmca9KkCRwdHSEQCEpcYEdDQ0PUSObt7S16/dOnT7h165bY8+mdO3di4cKFAArv1FlZWRW7orawsJDJimSEO/RvtwQMw2DQoEHIysqCsbGxVM7h6uqK5cuXY9SoUbC0tMTQoUMlclzheJO1tTW2bdtG401EoiwsLJCQkIDOnTsDgErvfCRcdnfy5Ml49epVqRdQ0dbWLrGR7O3bt7hx44bYre9169bh2bNnAArvUtjZ2RULaiMjI2okUxIUyCXw9fXFyJEjERMTgylTpkjtPCNHjkRGRgZ++eUXmJqaii3AXx7v37+Hq6srANDuTURq2rZti99++w1TpkzB5s2b0axZM65L4ky/fv0wYcIE7Ny5E8OGDavQsXR1ddG6dWu0bt1a7PVnz56Jlg4VBnVCQgLevXsHoLCRrGhIC4OaFi1RPBTIJahWrRq8vLwgEAgwefJkqf72uXTpUty5cwd+fn4VGocSjjelp6fTeBORup49e2LKlClYv3492rdvj8DAQK5L4kS9evXQo0cPCASCCgfy9+jr60NfX190VwIovDPx4MED0S3vlJQU/Pvvv4iOjhY1kunr6xcLaXt7e2okk2MUyN/BMAxiY2Nx7tw5ODk5Se086urq2L59Ozp06CDaHao841CRkZFITk7GgQMHaLyJyIyrqyv69+8PY2NjlRiHKgnDMPD398fNmzdha2srk3PyeDwYGxvD2NhYbIIiLy9PbEWylJQU/Pnnn1i9ejUKCgoAACYmJsWuqGVVN/kxCuTv6Ny5MwwNDSEQCKQayID4OJRwd6iyjEOtWbMGy5cvx5o1a8SWCyRE2qZOnYr379+LxqFkuTuUvHB3d0f16tUhEAgwb948TmvR0NCAjY0NbGxsijWSFV2RLCUlBdu3b0dWVhaAwgsDIyMjAMCGDRvQvXt38Pl8WFpaUh+KLLGlkJOTwwJgc3JySvN2mbt06RILgL106ZJEjzt58mRWT0+Pzc3Nlehxv+fy5ctslSpVWA8PDzYvL69U35OcnMyqqamxY8eOlUpN0vr/lii2on8vXr58yVpbW7NWVlbsixcvuC6NE0OHDmUbNGhQ6v9u5cWbN2/YM2fOsBs3bmT9/f1ZAGz16tVZACwAVktLi23SpAkbHBzMLliwgE1OTmazsrLYgoICrktXKKXNUJpD/oGQkBDk5OQgISFBJudr3Lgxdu7ciaSkJIwfP/6n7y863sT1TlJEdQnHoV6/fg0vLy/RM0xVwjAMHj16hL///pvrUspET08PTk5OCAsLE/3MOXr0KJ4+fYqjR49i4cKFaN68OdLT0zFr1iy4uLjA2NgY1atXR9u2bTFkyBCsWrUKx44dw4sXLzj+NIqPbln/gI2NDVq3bg2BQAB/f3+ZnNPFxQUrVqzAyJEjYWlp+d1GkUePHsHFxQXW1ta0exPhnIWFBeLj4+Hs7IywsDAIBAKVGsVp1aoVrK2tIRAI0K1bN67LqTB9fX04OzvD2dlZ9BrLssjKyhLbiOP8+fOIiorCly9fAAB169Yt9nzawcEB1apV4+qjKBQK5J9gGAYjRozA48ePZbL2NAD88ssvSE9Px8iRI2FmZlZsHOr9+/dwc3MDj8dDUlKSVJffJKS02rZti6ioKAQGBsLS0hK//vor1yXJDI/HQ2hoKGbNmoW3b98qZSczj8eDiYmJaHUxoby8PGRkZIgF9aFDh7Bq1SpRI5mpqWmJjWRaWlpcfRy5RIH8E/7+/hgzZgy2bdsm09WJli5dirt378LPzw+nTp1Cw4YNAYiPN50+fZrGm4hcCQgIENsdql+/flyXJDPBwcGYMmUKdu/ejYEDB3JdjsxoaGjA1tYWtra28PHxEb2em5tbbGvLbdu24cGDBwD+f0vMb4PawsKi1Hf8CgpYJF3LRtyFLDx8/RGGNSojsKUx3BoaQE1N8e7QUCD/RI0aNeDh4YGoqChERETI7Dacuro64uLixMahDAwMEBERIRpvEoY0IfJkypQpyMjIwIABA2BsbIz27dtzXZJMGBoaokuXLhAIBCoVyN+jo6ODJk2aoEmTJmKv5+TkiBY6EXZ8r1y5Ei9fvgRQuJKZvb19saA2NDQU+/lbUMBizM7LSLz2GGo8oIAFHud8wvm7r3D05jMs92uscKFMgVwKDMPAxcUF//33n0xXJfp2HCowMBArVqzA2rVrabyJyK2iu0N5enri7NmzsLKy4rosmWAYBsHBwbhz5w7Mzc25Lkcu6enpoU2bNmjTpo3oNZZl8ezZM7Gr6ZSUFOzbtw/v378XfV/RgH5fyxaJ1wobCAv+t4Kr8J+JV7PRxVYfHo0byPSzVRQFcil0794d9erVg0AgkPkygQ0aNEBycjKcnJwQGRmJ0aNHS21FIEIkRVNTE/v27YOTkxNcXFxw9uxZ1KpVi+uypM7T0xNVq1ZFdHQ0fvvtN67LURg8Hg9169ZF3bp10aVLF9HrBQUFxRrJzp07h99//x01fWZCy8gePLXit7fVeEDchSyFC2QaeyoFDQ0N9OvXD3FxcaJuQlliWValF/EniqlGjRpITk7G69ev4enpqRLjUFWqVIGfnx8EAoGooYlUjPDnX9E/PB4PGtXrlhjGQOGV8sPXuTKutOIokEuJYRi8fPkSycnJMj3vo0eP4OrqCgcHByxZskR0y5oQRSDcHerChQsYNGiQSvxiyTAM7t27h5MnT3JdisJgWRZPnjzBkSNHsHz5cgwaNAitWrWCrq4uzM3N4e7ujgULFiArKwtt2rTB0qVL4WBaD2BL/qVHjQcY1tCR8aeoOLplXUqOjo5o2rQpBAIBPD09ZXJO4XiTmpoaEhMTYWBggKysLNE4FD1HJoqgTZs2iIqKQkBAACwtLTF9+nSuS5Kqdu3awczMDAKBAB07duS6HLnz5s2bYk1dqampYk1dDg4O4PP58PX1FT0zbtCggVhTV9qiKNzilbyjVQELBLaUzta50kSBXAYMwyAiIgLPnz+X+tZm+fn5CAgIQEZGhtjuTUuWLBHtDnXq1CnaSIIohL59+yIzMxNTp06FhYUFgoKCuC5JatTU1BASEoIlS5Zg1apVKrtOQG5uLtLS0oo1aj18+BBA4SSJjY0N+Hw+unTpIgpec3Pzn449HTx4EOsmDkLr8PV4pFFf1GUt/Kd7IwO4NVS8kVAK5DIICAhAREQEtm/fjlGjRkn1XOHh4Th06FCx8aai41Curq6icShC5N3kyZORkZGBgQMHwsTERKnHoUJCQjBjxgzs27cPwcHBXJcjVXl5eUhPTy8WvJmZmaLn6GZmZuDz+QgODhYFr42NTbkWBhEuGezi0ht754bi4PWn/5tDzoVhDR2aQ1YVderUgaurKwQCgVQDedWqVVi5ciXWrl1bbJUuoHAc6sCBA6JxqBMnTqjsb+FEcfB4PGzYsAH3798X7Q6lrONQ5ubm6NChAwQCgdIEckkdzykpKbh586ao2bVevXrg8/lwcXERWzqzatWqEqkhOzsbrq6usLKyQlxcHCpV0oBH4wYK1039PRTIZcQwDDw9PZGSkgJHR0eJHz85ORljxoxBeHj4D8ebDAwMcODAAbRr1w6BgYHYt28frWdN5J6mpib27t0LJycn9O7dG+fOnVPacSiGYTBo0CA8ePBAtLWhImBZFk+fPi0WvNevXy82EyzcmEIYvrVr15ZaXe/fv4erqysA4MCBAxILebkiya2juCLLLQI/f/7M1qpVi42IiJD4sYXbL/bp04e2XyRyraJ/LzIzM9natWuz7du3Zz99+iTh6uRDTk4Oq6Ojw86ZM4frUr7rzZs37OnTp9kNGzawfn5+xbZf1NbWZps2bcqGhISwCxcuZA8ePMg+ePBA5tsv5uXlsW5ubmzVqlXZK1euyPTcklDaDKUr5DLS1NREYGAgYmNjMX/+fGhoSOb/QuHuTba2toiNjS311W7v3r2xcuVK/PLLL7C0tMTw4cMlUg8h0mRubo6EhAQ4Oztj0KBBiI6OVrrdoXR1deHt7Q2BQIBJkyZx+vm+XVda2NlcdF1p4VW8v78/unfvXuZ1paUpMjISycnJSEpKUupGVgrkcmAYBqtWrcLhw4fRu3fvCh9PeCtGXV29XLs3jRgxAhkZGRg5ciRMTU0lUhMh0tamTRsIBAL07dtXacehGIZBbGwszp07BycnJ6mf79udl4TBm5GRUWznpX79+ontvHT9+nU0a9YMgwcPRtOmTaVea2mtWbMGy5cvx+rVq5X+ZxsFcjk0bdoUfD4fUVFRFf4LIhxvyszMxOnTp8u9xePixYtx584d+Pv70zgUURj+/v7IzMzElClTlHIcqnPnzjA0NIRAIJBoILPf7E0sDN60tLRiexP36tULfD4fjo6OsLe3V6i9iQ8ePIhRo0ZhzJgxGDFiBNflSB0FcjnweDwwDIMpU6bg9evXqFGjRrmPJRxvSk5OrlCTmLq6OrZt24aOHTvSOBRRKJMmTRKNQxkbG6NDhw5clyQx6urqCA4Oxrp167B8+XJoa2uX+RhFN10QBu/169fx7t07AIW3xvl8Plq1aoWBAweKrnqlvVaCtAnHm1xdXbF48WKuy5EJCuRy6tevHyZMmICdO3di6NCh5TqGcLxp3bp16NGjR4VrKro7lKurK06cOKGcnYhEqfB4PKxfvx737t0T7Q5lbW3NdVkSwzAM5s2bh8TERPj5+X33fW/fvhWtYCUM3tTUVDx//hwAoKWlJdqW0NPTU3TV++22hMpA2FNjbW2NuLg4uXiOLQsUyOVUv3599OjRAwKBoFyBfODAAYwZMwYRERHlDvSSGBgYIDk5GW3btkVgYCD279+vMn+ZieISjkO1adNGtDuUNEdoZMnGxgatW7dGVFQU/Pz88OnTJ9y8eVMsdFNTU5GVlQWgcKUva2tr8Pl8jBgxQhS85ubmEmsilWfCJYN5PF65emoUmfL/25Wi0NBQ+Pv749atW7CxsSn1912+fBl9+/YVLZguaQ0bNsSuXbvg6uqKyMhILFu2TOLnIETShLtDtW7dGp6enjhy5Ei5VnKSF3l5ecjMzERKSgpq1aqF5ORkWFpa4u7du6IGKxMTE/D5fAQEBIiC18bGply3tpVBfn4+AgMDkZ6ejtOnT6vcYzcK5Apwd3dH9erVIRAIMHfu3FJ9z8OHD+Hq6go7O7syjTeVVa9evbBq1SqMGDEClpaWKtEQQRSfcByqc+fOGDBgAGJjY+X+dizLsnjw4EGxW81paWmiLSdr164NNTU11K9fHxMmTBA1WOnq6nJcvXyJiIhAcnJysSWDVQUFcgVoa2vD398fMTExmDVr1k/D9d27d3Bzc4OGhoZMbsUMHz4cGRkZGDVqFMzMzJR+ZIAoBycnJ0RHR8Pf3x9WVlb47bffuC5J5Pnz58WCNzU1VdRgVa1aNfD5fLRo0QL9+/eHo6MjHBwcoK+vDz8/P6SlpWHQoEFy/0sGF1avXo0VK1ZgzZo1KruTHQVyBTEMgw0bNuDYsWPo2rXrd9+Xl5cnGm86c+YM6tWrJ5P6Fi1ahMzMTBqHIgrFz88PmZmZmDx5MiwsLGS+HvTbt29x48aNYsH77NkzAIUNVnZ2duDz+fDw8ICjoyP4fD6MjIy+G7ahoaFwcXHB5cuX5WrOVx4kJydj9OjRGDt2rEovbkSBXEGtW7eGtbU1BALBDwM5PDwcf/zxB5KTk8Hn82VWX9HdoVxcXHD+/Hk0aKAcC7ET5TZx4kSx3aGkMQ4lbLAqGrqpqam4f/8+gMIGKysrK/D5fAwbNkwUvBYWFmVusOrevTvq1auHqKgoCuQirly5IhpvWrRoEdflcIoCuYKEM8mzZ8/GmjVrSnwmtHLlSqxatQrr16+XyHhTWVWpUkU0DiXcHYrGoYi84/F4WLduHe7duyfaHaq841D5+fliK1gJ/6SnpyM/Px8AYGxsDD6fD39/f1Hw2traSqzBSkNDA/369UNUVBQWL14MTU1NiRxXkT169Aiurq6wsbFRqfGm76FAloDg4GBMnToVe/bswYABA8S+lpSUhLFjxyIyMhJDhgzhqEIahyKKSVNTE3v27Cn1OFTRBquif27cuCHWYOXo6Ihu3bph7NixogYrPT09qX8ehmGwZMkSHDx4EH369JH6+eSZKo83fQ8FsgQYGRnB2dkZAoFALJAvX76MgIAAeHh4SGW8qayKjkNFRERg+fLlXJdEyE99bxzqxYsXxZ7xpqam4u3btwAKF8rh8/lo1qwZGIYRXfXq6+tz9lkcHR3RpEkTCAQClQ5k4ZLBqjre9D0UyBLCMAxCQkJw584dmJubi8ab7O3tERsbCzU1Na5LBFA4DrV69WoMHz4clpaW+OWXX7guiZAfevfuHZ49e4aBAwdi0aJFMDExAcuyogYrTU1NUYOVu7u7aOlIY2NjuexmDg0NRUREBJ4/f67wy1uWV3h4OA4ePKiy403fQ4EsIV5eXhg+fDiio6MREREBV1dXaGhoIDExEZUrV+a6PDHDhg1Deno6Ro8eDTMzM7i4uHBdEiH4/PlziQ1W9+7dA1DYYFW3bl08fvwYHTp0wJo1a8Dn82FpaalQK1gFBAQgIiIC27dvx6hRo7guR+aESwavXbtWZcebvkdx/hbLuSpVqsDX1xfR0dG4cOEC7t69i9OnT8tsvKmsFi1aJLY7VOPGjbkuiaiI/Px8ZGZmFgve27dvixqsjIyMwOfz4evrK9ZgpaOjg/nz52PSpEkYOHAgbG1tOf40ZVenTh24uLhAIBCoXCAnJydjzJgxCA8Px7Bhw7guR+5QIEtQSEgItm7divv37+PQoUMyHW8qq5J2h6JxKCJJLMvi4cOHJTZYffr0CQBQq1YtODo6okuXLhgzZgz4fD4cHBx+2GA1YcIEZGRkYNCgQTAxMUHHjh1l9ZEkhmEYeHl5ISUlpUK7vCkS4XiTm5sbFi5cyHU5cokCWYIuX74MoHCloe7du3Nczc/ROBSRlBcvXhQL3tTUVOTk5AAobLBycHBAkyZNEBISInrOq6+vX+bnvEXHoYS7Q5VlLXl54OLiglq1akEgEKjE1oLC3ZtsbW2xbds2mvD4DgpkCUlMTERERAScnJxw7do1fPjwQSHa+OvXr48DBw6gXbt2CAgIQHx8PP3HQr7r/fv3uH79OpKTkwEU9iPcv38fT58+BQBUqlRJ1GDl6uoq1mAlycbGSpUqiY1DnTt3TqF2h9LU1ERgYCBiY2Mxf/58hXoGXlbv37+Hq6sr1NXVabzpJ5T3b4EM/ffffwgICICnpycWLFgAKysr7N+/H0FBQVyXVipFx6HCw8OxYsUKrksiHPv8+TNu3bpV7Ir37t27Yu+rUqUKhgwZIgpeS0tLVKpUSSY1Vq9eHcnJyWjVqhX69OmDI0eOKNQuSQzDYNWqVTh8+LDSrjOfn5+Pvn37IjMzE6dOnUL9+vW5LkmuUSBX0IMHD+Dq6goHBwfExMSgcuXKaN++PQQCgcIEMgD07NkTq1atEo1DjRw5kuuSiAzk5+fjzp07JTZY5eXlAQAMDQ3B5/Ph4+MjCt7c3Fy0a9cOixcv5nQZSDMzMyQmJop2h9q2bZtcjjqVpGnTpnBwcIBAIFDaQB47diz++OMPGm8qJQrkCnj37h1cXV1RqVIlsfEmhmEQFhaGBw8ewMjIiOMqS2/YsGHIyMjAmDFjYG5uTuNQSoRlWTx69KjEBqvc3FwAQM2aNeHo6AhnZ2eMGjVK1GBVvXr1Ysf777//ZPwJvq9169aIjo6Gn58fLC0tMXPmTK5LKhUej4fQ0FBMnToVr1+/Ro0aNbguSaKESwavXbsWPXv25LochUCBXE55eXno27cv7t27V2y8ydfXFyNHjkRsbCwmTZrEYZVlt3DhQrFxKKJ4Xr58KRa6wtWshA1WVapUgYODAxo1aoSgoCDRVW/dunUV5uryW76+vpg3bx4mTZoES0tLhISEcF1SqfTr1w8TJkzAzp07MXToUK7LkZgDBw5g7NixNN5URhTI5cCyLMaMGYM///yzxPEmXV1deHl5ISoqChMnTlSoH3Lq6uqIjY1Fx44d4eLigi1btnBdEvmO9+/f48aNG8WC98mTJwAKG59sbW3B5/Ph4uIiCl4TExO5WTlOkoqOQxkbG6NTp05cl/RT9evXR48ePSAQCJQmkC9fvoy+ffvC3d2dxpvKiAK5HFauXIk1a9Zg48aN6NatW4nvYRgG27Ztw/nz59G6dWsZV1gxRcehxowZw3U5Ku/Lly9iDVbC4BU2WPF4PFhYWIDP5yMsLEwUvFZWVjJrsJIHRcehvLy8FGYcimEY9O3bF7du3VKIen9EuGSwra0tYmNjaWKjjCiQyygxMRFjx47FuHHjEBYW9t33OTs7o0GDBhAIBAoXyEDhb+7JyclwcnICANEKSkR68vPzcffu3WLBW7TBqkGDBnB0dIS3t7coeO3s7ORueVauKOI4lIeHB/T09BAdHY05c+ZwXU65vXv3Dm5ubjTeVAEUyGVw6dIlBAQEwMvLC/Pnz//he9XV1REcHIz169dj2bJlCjWOIeTo6Ij58+dj5MiRWLJkCXbs2MF1SUqBZVlkZ2cXe85btMGqRo0acHR0ROfOnTFy5EhRg5WyNf5Ig3AcqnXr1goxDqWtrY2+ffsiOjoaM2fOVMiryry8PAQEBCAzMxOnT5+m8aZyokAupQcPHsDNzQ18Ph/R0dGlegbHMAzmz5+PxMRE+Pn5yaBKyWvTpg0AYOfOnWjTpo3Krb1bUa9evSqxwerNmzcAgMqVK4sarPr16ye66q1Xr55C9R7IG+E4VKdOnRRiHIphGGzYsAHHjh1D165duS6nzMLDw/HHH38gOTlZZZYClQYK5FIQjjdpamoiISGh1LcHbW1t0apVKwgEAoUNZKGgoCCMHTsW5ubmcHV15bocufPhwwdRg1XRPXofP34MANDQ0ICtrS0cHR3Rq1cvUfCampoqZYOVPGjVqhViYmLg6+sr9+NQrVu3hpWVFQQCgcIFsnC8af369ejRowfX5Sg0CuSfyMvLg7+/P+7du4czZ86UefcmhmEwcuRIPHnyRG53fiqN0aNH48OHD+jbty9OnjyJJk2acF0SJ758+YLbt28XC967d++CZVnweDyYm5vD0dERAwcOFGuw0tTU5Lp8lePj44P58+dj4sSJsLCwAMMwXJdUIh6PB4ZhMGfOHKxZswa6urpcl1QqSUlJGDt2LCIiIjBkyBCuy1F4FMg/wLIsRo8ejcOHD+PQoUNwcHAo8zH8/f0xZswYbNu2DREREVKoUjbU1NRE41DC3aEMDQ25LktqCgoKRA1WRYP31q1bogYrAwMDODo6wtPTU6zBippZ5Mv48eORkZGBsLAwmJiYyO04VHBwMKZNm4Y9e/ZgwIABXJfzU5cvX0ZAQAA8PDxovElCKJB/YMWKFVi7du0Px5t+pmbNmvDw8EBUVBTCw8Pl+jnWz1SuXLnY7lDVqlXjuqwKYVkWjx8/Lha8N27cwMePHwH8f4NVx44dMWLECFGDVc2aNTmunpQGj8fD2rVrxXaHksd9lI2NjeHs7AyBQCD3gSwcb7Kzs0NsbCw9dpEQCuTvSEhIQHh4OMaPH//D8abSYBgGrq6uuHz5Mqfr/kpCvXr1kJycjDZt2oh2h1KUnWpevXqF69evFwvf169fA/j/BitHR0cEBASIrnrr16+v0L9IkcJxqN27d6Nt27aicag6depwXVYxDMMgJCQEd+/ehZmZGdfllEjYU6OhoYGkpCQauZMgxfhJKmOXLl1CYGAgvLy8MG/evAofr0ePHqhbty4EAoHCBzIA8Pl87N69Gy4uLggPD8fKlSu5LknMhw8fkJaWVix4s7OzAfx/gxWfz0ePHj1EwWtmZka/6Suxb3eHOnr0qNyNQ3l5eWH48OGIjo7G9OnTuS6nGOGSwXfu3ClXTw35MQrkbxQdb4qJiZHID2gNDQ3069cP0dHRWLRokVI09/To0QNr1qzB0KFDYWlpyck41NevX3H79m2x0E1NTcWdO3fAsiwAiBqs+vfvLwpea2trpfh3QMrO1NRUNA7Vv39/bNu2Ta5+CatSpQp8fX0hEAgwbdo0uaqt6JLBycnJxZYMJhVHgVzE27dv4eLiAk1NTSQmJkJHR0dix2YYBkuXLsWhQ4fg4eEhseNyaciQIcjIyMDYsWNhZmYGNzc3qZynoKAA9+7dKxa8t27dwtevXwEUrizm6OgIDw8PUfDa29tTgxUp5ttxqFmzZnFdkhiGYbB161acOnUKHTp04LocEeGSwTTeJD0UyP8jHG+6f/8+zp49i7p160r0+A0bNkSTJk0QFRWlNIEMAAsWLEBmZiYCAgIqPA7FsiyePHlSLHivX78uarCqXr06HB0d0b59ewwbNkzUYFWrVi1JfSSiAnx8fLBgwQJMmDABFhYWCA0N5bokkfbt28PU1BQCgUBuAlm4ZHBkZCSNN0kRBTIKg2DUqFE4cuQIDh06BHt7e6mch2EYjBs3Di9evJD79XVLSzgO1alTpzKNQ71+/brY3rypqal49eoVAEBHRwcODg7g8/nw9/cXXfUaGBhQgxWRiHHjxiE9PR2DBw+GiYkJOnfuzHVJAAr/mwoJCcGyZcuwatUqzpum/vvvPwQEBMDT0xMLFizgtBZlR4EMYPny5Vi3bh02bdok1VVyAgMDERkZie3bt2PkyJFSO4+sVa5cGYmJiWjVqhVcXV1x8uRJ0TjUx48fxbYIFP559OgRgMLn6zY2NuDz+ejWrZtYg5UirulLFEfRcSjh7lDyMg4VEhKCmTNnYv/+/ejXrx9ndTx48ACurq5wcHCQWE8N+T6VD+SEhARERERgwoQJGDRokFTPVadOHfTu3RsCgUCpAhkAatWqhZUrVyIgIABNmzaFvb09bty4gczMTLEGKz6fD4ZhRMFrY2NDDVaEMyXtDiUP41AWFhZo3749oqKiOAtk4XhTpUqVkJiYyPmVuipQ6UAWjjd5e3tj7ty5MjlnaGgovLy8kJqaqpBdisIGq2+veG/evClqsMrIyMDnz5/h7e0NR0dHUYNV1apVOa6ekOL09PTkchyKYRiEhYXhwYMHMDIykum5heNN9+7dw+nTp2m8SUZU9v5DVlYWXF1d4ejoWOrdmyTBxcUFtWrVgkAgkMn5yku4gtW5c+cAADNmzECrVq2gq6sLCwsL0XJ5Dx48QNu2bbFs2TIcP34cz58/x4YNG/DgwQOYmppiwIABaNmyJYUxkWumpqZISkrCf//9h9DQUBQUFHBdEnx9faGtrY3Y2FiZnrfoeNPu3bsV8sJBUankFfLbt2/h6uoKbW1tJCQkSHS86Wc0NTUREBCA2NhYzJs3Ty5WuXrz5k2JDVYvX74UvSc9PR0tW7aEr6+v6HZzgwYNSmywGjx4sNg4lLu7uyw/DiHl0rJlS8TGxsLHxweWlpaYPXs2p/Xo6urC09MTAoEAEydOlFkz4/bt27FmzRps2LAB3bt3l8k5yf+wpZCTk8MCYHNyckrzdpm7dOkSC4C9dOnST9/79etXtmfPnqyenh57/fp1GVRX3L///ssCYA8ePCjT83748IG9ePEiGxUVxUZGRrI9e/ZkDQ0NWQAsAFZdXZ21t7dn/fz82JkzZ7L79u1j9+/fX+r/b4vKz89nvby82MqVK5f5e4n8K8t/c4pm4cKFLAB269atXJfCHj58mAXAnjt3TurnEv47BcCOGzdO6udTJaXNUO4vz2SIZVmMHDlS6uNNP9OsWTM4ODhAIBCgV69eEj/+169fkZ6eXuyKNyMjQ9RgZWZmBj6fj+DgYLEGKy0tLbFj/ffff+WqQU1NDTExMWLjULJ+DkZIeURGRiI9PR1hYWGiDR+44uzsjAYNGiAqKgqtWrWS6rnS0tIAAJ07d8b8+fOlei5SMpUK5GXLlmH9+vXYvHkzp5uAC/c+nTZtGl6/fo0aNWqU6zgFBQW4f/9+iQ1WX758AVC4GQSfz4eLi4soeB0cHGTyTPfbcahTp04p/O5QRPnxeDysWbMG9+7dg7e3N6fjUOrq6ggODsb69euxbNkyqTWbPXjwAGPGjAEAzJo1i8abOKIygRwfH4/IyEhMnDgRAwcO5LocBAUFYeLEidi1a9dPV75hWRZPnz4tFrzXr1/H+/fvARR2ivL5fDg5OSEsLEwUvlwvQCLcHapt27bo27cvEhIS5OK5OSE/UnR3qN69e+P8+fOcjUMxDIP58+cjKSkJvr6+Ej9+0d2bAMi0p4aIU4mfjBcvXkRgYCB8fHwwZ84crssBULj2cvfu3SEQCMQC+c2bN6ItAoV/UlJSRA1W2trasLe3B5/Ph7e3N/h8PhwdHb/bYCUP+Hw+9uzZg169emHMmDFYtWqV3NZKiJCenh4OHDiA1q1bw8PDA3///Tcn41C2trZo2bIlBAKBxANZuGTwvXv3sGnTJvj7+0v0+KRslD6Qs7Ky4ObmhoYNG0IgEMjNrZjc3Fx06NABkydPxqBBg5CdnY2UlBQ8fPgQQOGtKmtra/D5fIwaNUp0xWthYaGQK1h169YN69atw+DBg2FlZYXRo0dzXRIhP1V0d6jQ0FDExcVx8jMkNDQUI0eOxJMnTyQ2E8yyLEaPHo3Dhw/j0KFDtB68HFDqQBbu3qStrS3x3ZtKKy8vr1iDVUpKCjIzM0Wzjnv27EH79u0RFBQkCl5bW9tiDVaKLiwsDOnp6TQORRRKy5YtRbtDWVhYcHKXzd/fH2PGjMG2bdsQEREhkWOuWLECa9euxcaNG9GtW7dyN3ASyVHaQM7Ly4Ofnx8ePHiAM2fOQF9fX6rnKygoQFZWVrHgLdpgVbduXfD5fPTu3Vt0q3nDhg04cuQIEhIS5ObqXZrmz5+PO3fuICAgACdOnECzZs24LomQn/L29sbChQsxbtw4WFpaon///jI9f82aNeHu7g6BQIDw8PAKP/JJSEhAeHg4xo8fj7CwMAlVSSpKKQNZON509OhR/PHHHxIdb2JZFs+ePStxIQ1hg5Wuri74fD5at26NQYMGia56S2oKyc/Px9atW3Hs2DF06dJFYnXKKzU1NURHR6Nz585wc3OjcSiiMCIiIsR2h5L1OBTDMHBzc8OVK1cqtM2pcMlgLy8vzJs3T4IVkopSykAuOt5UkZDLyckRa7AS7tP74sULAICWlpaowcrT01N01WtoaFjq32CdnJxgZWUFgUCgEoEMFI5DJSQkoHXr1jQORRQGj8fD6tWrReNQZ86cgZ2dnczO36NHD9StWxdRUVHlDuQHDx7Azc0NfD5fpksGk9JR6EAuKGCRdC0bG4+/RINhv2Pa8Zdo+l8C5kSOK9N4U25uLm7evFkseB88eACg8KpO2GD1yy+/iILX3Ny8wiM8wpnkuXPnYs2aNSoTTMJxqDZt2sDf3x+JiYk0DkXkXqVKlbBr1y60bdtWtDuUtB+HFT13v379EB0djUWLFpV5lzRhT42mpibt3iSnFPYnYEEBizE7LyPx2mOoAdDQ08eN559x/bkGGg9fjlmzhhf7nry8PGRkZBQL3oyMDFGDlYmJCfh8PgIDA0XBa2NjI9Vxh+DgYEybNg179uyR+bMpLjk4OIjGoUaPHo3Vq1fTOBSReyXtDiWrhlGGYbB06VIcOnQIHh4epf4+4XjT/fv3cebMGdStW1eKVZLyUthATrqWjcRrjwEAwn1ZWBT+MH9VzRyC46mo9/mhWPCmpaWJGqz09fXB5/PRs2dPUfDa29tDV1dX5p/F2NgYnTt3hkAgUKlABoqPQwlXCyJEnpmYmCApKQkdO3ZEaGgotm/fLpPbvw0bNkTjxo0hEAhKHcgsy2LUqFH466+/cOjQITg4OEi5SlJeChvIcReyoMYDCtjiX2ML8jHl90N4un0SqlWrBj6fj5YtW2LAgAFwdHSEg4ODzG4zlRbDMGAYBnfv3oWZmRnX5chUWFgYMjIyEB4eDjMzszL95k8IV1q0aIFt27bB29sblpaWMhuHCg0Nxbhx4/DixYtSrcS3fPlyrFu3TjTeROSXwj7Rf/j6Y4lhDAA8NXUYWDvi/v37yMnJwZkzZ7Bx40aMGjUKnTt3lrswBgAvLy9UqVIFMTExXJfCiXnz5sHLywuBgYG4dOkS1+UQUiqenp5YuHAh5s6di99//10m5wwMDATLsti+fftP35uQkICIiAgab1IQChvIhjUqQ+07jxvVeICVQU0YGxsrzDPJqlWrwtfXFwKBQLQjkyoR7g7F5/Ph5uYmaqgjRN5FRERgyJAhGDJkCI4ePSr189WpUwe9e/eGQCD44fuESwbTeJPiUNhADmxp/N0r5AK28OuKhmEY3LlzB6dOneK6FE7o6OggMTERmpqacHFxwdu3b7kuiZCf4vF4WLVqFZydneHt7S3axlCaGIbBpUuXcP369RK/LlwymM/nIyYmhsabFITC/ltya2gA90YGACC6Uhb+M//OeTSumc9RZeXXoUMHmJiY/PQ3X2VWt25dHDx4EPfv34e/vz/y8vK4LomQnxKOQxkZGaF379549uyZVM/n4uKCmjVrlviz4u3bt3B1dYWWlhZnSwaT8lHYQFZT42G5X2Os8G+MFqY10aC6DlqY1sTMnmZQPx8Ddzc3vHv3jusyy0RNTQ0hISHYtWsXPn78yHU5nLG3t8fevXtx5MgRjBo1SiVv4RPFI9wdKjc3Fx4eHsjNzZXaubS0tBAYGIiYmBixX1qF401ZWVk4ePAgjTcpGIUNZKAwlD0aN8DOwU44PcEZOwc7IaSjPZKTD+DevXsKeYXFMAzevXuH/fv3c10Kp7p27Yp169Zh3bp1WL58OdflEFIqwnGoq1evgmEY0foG0sAwDJ48eYK//voLwP8vGXzkyBHs2bNHoksGE9lQ6ED+HuGCE4cPH8bo0aMV6grLwsIC7dq1U+nb1kKDBg3ChAkTEBERgYSEBK7LIaRUhONQe/bswdSpU6V2nmbNmsHe3l70s0K4ZPC6devQtWtXqZ2XSI9SBjLw/wtOrF27FitWrOC6nDJhGAZHjhwR7Y2syubOnQtvb28EBgbi4sWLXJdDSKl4enpi0aJFmDdvntTGoYTL7sbHx2Pbtm2IjIzEhAkTMGjQIKmcj0if0gYyULjgxPjx4xEeHq5QV1i+vr7Q0tJCbGws16VwTrg7lKOjI9zc3JCVlcV1SYSUSnh4OIYOHSrVcaigoCB8/foV/fv3h7e3N+bOnSuV8xDZUOpABhRzwQk9PT14eXmp7Ezyt3R0dJCQkABtbW24urrSOBRRCMJxqC5dusDb2xs3btyQ+Dny8vKgoaEBLS0t2r1JCSj9vz3hFZaiLTjBMAxu3ryJCxcucF2KXKhbty6Sk5ORlZWlkM16RDVpaGhg165dMDY2houLC54+fSqxYwt3b9LV1cX79+8V5mcb+T6lD2SgcP9dRVtwokuXLmjQoAE1dxVhb2+PPXv24MiRIxg5ciTdPSAKQVdXFwcOHMCnT58kNg6Vl5cHPz8/PHjwAH/++Sf09PQQHR0tgWoJl1QikIH/v8JSlAUn1NXVERQUhB07duDz589clyM3unbtivXr12P9+vVYtmwZ1+UQUirGxsZISkrCtWvXKjwOJRxvOnr0KPbs2YOmTZvC398f0dHRUh2zItKnMoEMFI5DKdKCEwzD4PXr10hKSuK6FLkycOBATJw4EZGRkYiPj+e6HEJKpXnz5oiLi8OePXswZcqUch9HON60fv160XgTwzB48OABjh07JqlyCQdUKpABxVpwws7ODi1btkRUVBTXpcidOXPmwMfHh8ahiELp06cPFi9ejPnz52Pz5s1l/v79+/cjMjISEydOxMCBA0WvOzk5wcrKih5xKTiVC2RAsRacYBgGf/zxh0SbQZSBmpoaBAIBGjZsSONQRKGMHTsWQ4cOxbBhw3DkyJFSf9+///6Lfv36wcfHp9jeyzweDyEhIdi7d6/CLRlM/p9KBjIgvuCEPI9D9e3bF+rq6ti2bRvXpcgd4e5Q2traCtOsR4hwHKpr167w8fEp1TjU/fv34e7ujoYNG0IgEJQ43hQcHIyPHz9i79690iibyIDKBnLRBSdcXV3l9gqrZs2acHNzQ1RUlNw/8+aCvr4+kpOT8eDBA/j5+cl9sx4hQOE41M6dO0s1DpWTkwNXV1doa2v/cPcmExMTODs70yMuBaaygQwozoIToaGhSElJwZUrV7guRS4Jd4c6evQojUMRhVGacaivX7+KxpsOHjwIfX39Hx6TYRj8888/uHv3rrTKJlKk0oEMKMaCEz169IC+vj41bPxAly5daByKKBxjY2McOHAAKSkpCAkJERtbEo43/f3339i7dy/s7Ox+ejwvLy9UqVIFMTEx0iybSInKBzIg/wtOVKpUCf369UNcXBy+fv3KdTlyq+g4lKpvX0kUR7NmzRAXF4e9e/di8uTJoteXLl2KDRs2YMOGDejSpUupjlW1alX4+PggOjpa7n6OkZ+jQP4f4TiUvF5hMQyD58+f49ChQ1yXIteE41D9+vXDv//+y3U5hJSKh4cHlixZggULFmDz5s3Yv38/xo0bh0mTJmHAgAFlOlZoaCgyMzNx+vRpKVVLpIUCuQjhOJQ8LjjRqFEjNG7cmG5b/4RwHKpRo0Zwd3fH/fv3uS6JkFIZM2YMhg0bhqFDh6Jv377w8fHB7Nmzy3ycDh06wMTEhJq7FBAF8jfkef9dhmGQlJSEly9fcl2KXBM26+no6MDV1RU5OTlcl0TIT/F4PEREREBdXR35+fmYMGFCuXZvUlNTQ0hICHbt2oWPHz9KoVIiLRTI3xCOQ8njghOBgYFgWRbbt2/nuhS59+04FD17J/IuJycHffr0Qf369WFtbQ1vb+9yLwgUEhKCd+/eyd2dPvJjFMglKDoOJU8LTujr66NXr15027qU7OzssG/fPvz9999y2axHiFDR8aZDhw7hzz//xJcvX+Du7l6uq1xLS0u0bduWflYoGArk7xCOQ8nbghMMw+DixYu4fv0616UoBGdnZ1Gn6tKlS7kuh5Biio437du3D3Z2djAyMkJSUhJSU1OLjUOVVmhoKP766y88fPhQClUTaaBA/gHhOJQ8LTjh6uqKmjVr0m++ZTBgwABMmjQJ48aNo3EoIneWLFki+qXR2dlZ9LpwHGrfvn2YNGlSmY/r6+sLLS0txMbGSrJcIkUUyD8hb/vvamlpISAgALGxsXJz1a4IZs+eDV9fXxqHInJl3759GD9+PCZPnlzieJNwHGrhwoXYtGlTmY6tp6cHT09PCAQCubiYID9HgVwK8rb/LsMwePz4cZl2ilF1ampqiIqKQqNGjeDm5kbjUIRzFy5cQFBQEPz8/DBr1qzvvm/MmDEYPnw4hg0bhr/++qtM52AYBjdv3qRfQhUEBXIpydP+u82bN4ednR3dti4jYbNe5cqVaRyKcEq4e1Pjxo2xdevWH4438Xg8rFixAt27d4ePj0+Z+ke6du0KAwMDmklWEBTIpVR0wQmur7B4PB5CQ0MRHx+PN2/ecFaHIio6DuXr60vjUETmcnJy4OLigsqVK4vm5X9GuDuUqanpT3eHKkpdXR3BwcHYsWMHPn/+XNHSiZRRIJfBt7tDcXmFFRQUhC9fvmDXrl2c1aCohONQx44dwy+//ELP14jMfP36Fb6+vnj06BGSk5NRp06dUn9vtWrVcODAgTKPQzEMg9evXyMpKam8ZRMZoUAuI319fRw8eJDzBScMDAzQrVs3um1dTs7Ozti4cSM2btyIJUuWcF0OUQEsy2LEiBE4duxYqXdv+lZ5xqHs7OzQokUL+lmhACiQy8HOzg579+7lfMEJhmFw5swZpKenc3J+Rde/f39MnjwZ48ePx759+7guhyi5xYsXY9OmTdi4caPYeFNZNWvWDNu3by/TOFRoaCgOHTpU7pW/iGxQIJdTly5dOF9wok+fPtDV1UV0dDQn51cGs2bNgp+fH4KCgnDhwgWuyyFKau/evaLxpv79+1f4eO7u7li6dGmpx6H69u0LdXV1bNu2rcLnJtJDgVwBXC84oaOjA39/f0RHR5drJR/y/+NQjRs3pt2hiFQIx5v8/f1/ON5UVqNHj8aIESNKNQ5Vs2ZNuLm50W1rOUeBXEGzZ8/mdP9dhmGQlZWF48ePy/zcykJbWxsJCQmoUqUKXFxcaByKSMy9e/fg5uaGJk2aICoqqly7N30Pj8fD8uXLReNQqampP3w/wzC4du0arly5IrEaiGRRIFcQ1+NQbdq0gaWlJf3mW0F16tRBcnIyHj16RONQRCKE401Vq1YVTWdIWtFxKFdXVzx58uS77+3Zsyfq1KlDPyvkGAWyBHC54ASPx0NISAj27t2L9+/fy+y8ysjW1lY0DjVixAgahyLlJhxvys7OLvN4U1lVq1YNycnJPx2HqlSpEoKCgrBt2zb6hVNOUSBLCJf774aEhODDhw/Ys2ePzM6prDp37oxNmzZh06ZNWLx4MdflEAXEsiyGDx+OY8eOYd++fbC1tZX6OQ0NDXHgwAFcv34dwcHB3+0pYRgGz58/x6FDh6ReEyk7CmQJ4mr/XRMTE3Tu3JluRUlIaGgopkyZgvHjx2Pv3r1cl0MUzKJFi7B582Zs2rQJnTt3ltl5mzZtiu3bt2P//v2YOHFiie9p1KgRGjVqRD8r5BQFsoQJF5zYsGGDTBecYBgGx48fx71792R2TmU2c+ZM+Pv70zgUKZM9e/ZgwoQJmDJlCkJDQ2V+fnd3dyxbtgyLFi3Cxo0bS3wPwzBISkrCy5cvZVwd+RkKZCngYsEJb29vVKlSBTExMTI5n7ITjkM1bdoUbm5u9IsO+anz588jODgYffv2xcyZMzmrY9SoUfjll18wfPhwHD58uNjX+/XrB5ZlsWPHDg6qIz9CgSwlsl5womrVqvDx8aG9TyVIW1sb8fHxqFq1KlxcXGgjD/Jd9+7dg7u7O5o2bfrT3ZukjcfjYdmyZejRo0eJ41D6+vro1asX7QAlhyiQpURNTQ1bt26V6YITDMMgMzMTp0+flvq5VIVwHCo7O5vGoUiJ3rx5Ixpvio+Pl8p4U1lpaGhgx44dMDc3h4uLS7FxKIZhcPHiRdy4cYOjCklJKJClqOg4lCwWnOjYsSNMTEyoYUPCbG1tsX//fvzzzz8YPnw43YEgIrIcbyor4e5QeXl5xcahXF1dUaNGDfpZIWcokKVMlgtOqKmpITg4GLt27UJubq7UzqOKOnXqhE2bNmHz5s1YtGgR1+UQOSAcb/rnn3+wf/9+mYw3lZWhoSGSkpJw48YNBAUFicahtLS0EBAQgNjYWOTn53NcJRGiQJYB4e5QslhwIiQkBG/fvkV8fLzUzqGqGIbB1KlTMWHCBJr5JmLjTZ06deK6nO8SjkMlJCRgwoQJotdDQ0ORnZ3903WwiexQIMuIcBxK2gtOWFlZoW3bttSwISUzZ85E3759ERwcjPPnz3NdDuGIcLxp6tSpYBiG63J+ys3NDcuWLcPixYuxYcMGAEDz5s1hZ2dHt63lCAWyDBUdh5LmghMMw+DIkSN49OiR1M6hqng8HrZu3YqmTZvC3d2dxqFUkLyMN5WVcBxqxIgR+PPPP8Hj8cAwDOLj42lDFTlBgSxjs2bNkvqCE35+ftDU1ERsbKxUjq/qaBxKdX073sTj8bguqUyWLVuGnj17wtfXF6mpqQgKCsKXL1+wa9curksjoECWOeGCE02aNJHaghN6enro06cPzSRLUZ06dXDw4EE8fvyYxqFUhHC8qVq1anIz3lRWGhoa2L59u2gcSk1NDd26daNHXHKCApkDwv13pXmFFRoairS0NE72aFYVNjY22LdvH41DqYCvX7/Cx8cHjx8/lrvxprL6dhzK398fZ86cQVZWFtelqTwKZI5Ie8GJrl27wsDAgBo2pIzGoZQfy7IYNmwYTpw4gX379sHGxobrkipMuDtUWloa4uPjRSFNuEWBzCHh/rvHjx+X+BWWuro6goKCsH37dnz+/FlixyXF0TiUclu4cCG2bNmCzZs3y/V4U1k1adIEO3bswIEDyWjQxgOH8+zRYNjvmHb8JRKuPEJBAd3xkTUKZI4J99+VxhUWwzB4/fo1/eYrAzNnzkRAQACNQymZ3bt3Y+LEiZg2bRpCQkK4Lkfievd2QbdfY5HbpC94dS2hoaePtOdfMHrnFYzZdYVCWcYokOWAcP9dSV9h2dvbo0WLFnTbWgZ4PB5+//13NGvWDO7u7rh79y7XJZEKOnfuHEJCQhAQEIAZM2ZwXY5UJF3Lxs1P1QAAPDV1AEDB/76WeDUbSdeyOapMNVEgywlpLTjBMAwOHjyIp0+fSuyYpGTa2trYv38/qlWrRuNQCu7u3btwd3dHs2bN8PvvvyvceNOPsCyL7OxsHD58GAv3nQHYghLfp8YD4i5Qo5csUSDLCeHuUJJecKJv375QU1NDXFycRI5HfkzYrPfkyRP4+PjQOJQCEo436erqKux4k9Dr169x8uRJrFu3DiNGjEDHjh1Ru3ZtNGjQAD169EDWyw8Ar+QYKGCBh69pTXxZ0uC6APL/hAtOtG7dGi4uLjh9+jSqV69eoWPWqlULbm5uEAgEGDt2rGQKJT9kY2OD/fv3o1u3bhg2bBg2bdqkVFdYykw43vTkyROcPXsWtWvX5rqkUvn48SNu3LiB1NRU0Z+UlBRkZxfectbQ0ICNjQ34fD66desGKysrXLhwAdufPYNa1Zqi29VFqfEAwxo6sv4oKo0CWc4Ir7CcnJzg6+uLgwcPolKlShU6JsMw8PDwwJUrV9C4cWPJFEp+qGPHjti8eTMYhoGVlZXYov5EPhUdb/rrr7/kcrzp69evuH37drHgvXPnjmhKw9zcHHw+H6GhoeDz+XB0dIS1tTU0NTXBsiy2b9+OcePG4cmTJ+gzejYulBDGQOEVcmBLY1l+PJVHgSyHhPvvdu/eHcOHD8fGjRsrdIXVq1cv1KlTBwKBgAJZhkJCQpCRkYGJEyfC3Nwcvr6+XJdEfmDBggXYsmULBAIBOnbsyGktBQUFuHfvXrHgvXXrlugxSP369cHn8+Hu7g4+nw8+nw97e3tUrVq1xGOeOXMG4eHhOH/+PLy8vLBw4UKYmZljzK4rSLyaDTVeYQgL/+neyABuDQ1k+bFVHgWynBIuOBEaGgorKyuMHz++3MeqVKkS+vXrh23btmHhwoUVvuImpTdjxgxkZmYiJCQERkZGaN26NdclkRLs3r0bkyZNwq+//irT8SaWZfHkyZNiwXv9+nV8/PgRQOFSuI6OjmjXrh2GDh0qCt9atWqV6hz37t3DhAkTsGvXLjRt2hT//PMPOnToIPr6cr/G6GKrj7gLWXj4OheGNXQQ2NIYbg0NoKZGj1pkii2FnJwcFgCbk5NTmrcTCZo6dSoLgN29e3eFjnP58mUWAJuYmFim77t06RILgL106VKFzq/KcnNz2bZt27J16tRh79y5w3U5EqFMfy/Onj3LamlpsYGBgWxBQYHUzvPq1Sv25MmT7Lp169gRI0awHTp0YGvWrMkCYAGwOjo6bLNmzViGYdhFixaxhw4dYh8+fFjumnJyctiJEyeyWlparIGBARsVFcXm5+dL+FOR0ihthtIVspybOXMmMjIyEBwcDENDw3JfYTVu3BgNGzaEQCCAm5ubhKskP/Jts96ZM2cq3KxHJEM43tSiRQts2bJFIs13Hz9+RFpamtgVb2pqqmg7VHV1dVGDVdeuXeHo6Ag+nw8zMzOoq5f8PLcs8vPzsWXLFkybNg3v3r3DxIkTMW7cOFSpUqXCxybSRYEs54T772ZlZcHDwwPnzp2DmZlZuY4VGhqKiRMn4uXLl6W+3UUko3bt2jh48CBat24NHx8fHDp0iB4dcOz169fo3bs3dHV1sX///jKPN339+hXp6enFbjdnZmaKGqzMzMzA5/MREhIiCl5ra2toaWlJ4yPhr7/+QkREBFJSUhASEoI5c+bA0NBQKucikkeBrAAkdYUVGBiIcePGYceOHRgxYoTkCyU/ZG1tTeNQcuLLly/w8fHB06dPce7cuR+ONxUUFOD+/fvFgvfmzZuiBqt69eqBz+fD1dVVFLw/arCStLS0NIwbNw7Jyclo164d/v33XzRv3lwm5yaSQ4GsIIT77zo5OZX7Cqtu3bro1asXBAIBBTJHio5DWVpaYuLEiVyXpHLY/403nTx5EkeOHIG1tbXo9adPnxa71Xz9+nV8+PABQGGDFZ/PR5s2bTBkyBDw+Xw4ODhwNq/84sULzJgxA+vWrYOxsTH27NkDLy8v+kVPQVEgKxDh/rvdu3cv9xUWwzDw9fVFWloa7OzspFQp+ZGQkBBkZmZi0qRJsLCwoHEoGZs/fz5+//13TJ06FWlpadi9e7cofF++fAmg8K6Uvb09+Hw+fH19RZ3NDRo0kIuw+/LlC1avXo1Zs2ahoKAA8+fPx8iRI6V2K5zIBgWygunUqVOFFpxwc3NDjRo1IBAIMH/+fClVSX7mt99+E2vWc3Jy4rokpZSbmyvWYPXXX3/hypUrAIDZs2dDXV0d1tbW4PP5GD16tCh4zc3NJdJgJWksyyI+Ph7jx4/HnTt3MGTIEMyYMQN16tThujQiARTICqgiC05oaWkhICAAMTExmDNnjlz+0FEFPB4PW7ZsEWvWMzc357oshZWXlyfWYCW84s3MzERBQeHmCfXr18fTp09hb2+PyZMnw9HRETY2NgpzVXn58mWEh4fj+PHj6NmzJ+Lj4+Hg4MB1WUSCKJAV1IwZM5CRkVGuBScYhsHatWtx5MgR9OjRQ4pVkh8R7g7l5OQkatarUaMG12XJtYKCAmRlZRUL3ps3b+LLly8ACnsl+Hw+XFxcRFe8Ojo66Nq1K9q0aYMjR44oTAgDQHZ2NqZMmQKBQAA7OzscOnQIPXv25LosIgUUyApKuP9uVlYW3N3dcf78+VKPQ7Vo0QK2trYQCAQUyByrXbu2aO1yYbOepqYm12VxjmVZPHv2TCx0hQ1W79+/BwDo6uqCz+fDyckJYWFhogarb2/fvn79Gm3atIGenh7279+vMGH88eNHLFmyBAsWLICOjg7WrFmDsLAwaGjQj21lRf9mFVh5x6F4PB4YhsGMGTOQk5MDPT096RdLvks4DtW1a1cMGzYMmzdvlovGIVnJycnB9evXi4XvixcvABQ+ZrG3t4ejoyO8vb1FV72GhoY//f9JON707Nkzhdm9qaCgAHFxcZg0aRKePXuG0f/X3r0HRXmebQC/dqMhmqJV1DooYGXXIO56qIkteKiHmLRaBKXxwGkhKmo1ViBjx10OJkIixs54yEwjKHISSjoomlFjE9MmwQVNTL6mG7CyaEA0NXJQwQgovN8fdHfABV1ll3139/rNZPyDHd6bScy1z3Lfz/3HP0KtVvMyGSfAQLZznU9YwcHBZp+wwsPDodFo8P7772P16tV9UCk9zKxZs5CRkYHw8HDIZDJs2bLF1iVZ3N27d3HhwgWT4L1y5QqAjhus5HI5lEolXnvtNWPwent7P1GvgyAIWLt2rcl4k5gVFxcjNjYWX3zxBYKDg5Gamgpvb29bl0V9hIHsAB7cv2vOCWvUqFF48cUXkZWVxUAWibCwMOj1eqjVanh7e2Pp0qW2LumJ3L9/H3q93iR49Xq9scFqzJgxUCgUCA0NNQbvc88999i3ZT3M9u3bcfDgQeTk5HRZpiBGly9fxp/+9Cf87W9/w/PPP4/PPvsMM2fOtHVZ1McYyA7iwf275lw4oVKpEBoaCr1eD5lM1gdV0qMkJSV1adYT+zjU999/j+PHj3cJ3vLycpMGq9/+9rddVgQOGjTIqnUVFBRArVYjKSkJYWFhVn1Wb9y6dQtvvfUWdu3aheHDhyM7OxuhoaGQSqW2Lo1swZKbKsj2EhISBABCQUHBI197584dwdXVVUhISOjxNY601cdeNDc3CzNmzBCGDx8uVFZW2rocQRAE4fr168Lp06eFXbt2CatWrRKUSqVxSxEAYdCgQYK/v78QHR0t7NmzR/jkk0+EH374wSa1arVawcXFRQgLC7Pq9qbeuHfvnvCXv/xFGD58uDBw4EDhjTfeEJqammxdFlmJuRnKQHYw7e3tQkhIiODi4iJotdpHvn7VqlWCl5dXj2vZGMi2UVtbK8hkMsHHx0eor6/vs+feunVL0Gq1QlpamvDaa68Jc+bMEYYPH24MXhcXF2HKlCnCwoULBQDC7t27haqqKtEEX2VlpTBs2DBh5syZQnNzs63L6daHH34oTJgwQQAgqFQqoaamxtYlkZVx/aKTMlw4UVVVZdaFEyqVCvv378enn36KOXPm9GGl9DBubm4m26EsOQ7V3NyMCxcudPmoWafTobq6GgAglUqNN1itX7++S4NVv3798NVXXxkXGXh6elqsrt4wbG8aMmSIKMebysrK8Prrr+PkyZOYNWsWvvzyS0ydOtXWZZGIMJAdUHfjUD1dODF9+nR4e3sjKyuLgSwycrncOA61du3aJ9rXe//+fVRWVpoEb0VFhbHBysvLCwqFAitWrDAGr4+Pj0UbrKyttbUVwcHBuHHjBkpLS0W1XrS2thZJSUnYt28fvLy8UFhYiMWLFzvVaBuZh4HsoLrbv9vdCUsikSAiIgI7duzAu+++22fr4sg8nceh5HJ5j+NQgiDgypUrJp3N5eXlaGlpAQCMGDECCoUCL7/8MuLi4owXaVi7wcraBEHAmjVrcObMGXz88ceQy+W2LgkA0NLSgr179yI5ORkAkJqaig0bNoju5E7iwUB2YOPGjUNRUdEjL5yIiIhAUlISDh8+jIiICBtUSg/TeRxq7NixmDt3rknw6nQ6NDY2AgBcXV2hUCjwwgsvICoqynjqHTFihI1/Eut4++23kZmZiZycHFGMCgmCgCNHjmDz5s347rvvsHbtWmzdutUuLiUh22IgO7hZs2bhwIEDiIiI6PHCiTFjxmD27NnIzMxkIIvI7du3UVZWhn//+9+or6/HyJEjsXz5cuPXXVxcMH78eCgUCgQGBkKhUECpVMLDw8NpPg4tKCiARqPB1q1bRTHedP78ecTGxuKzzz7DggULcOzYMfj6+tq6LLITDGQnEB4e/sgLJ1QqFaKiolBVVQUvLy8bVOm8DA1WnU+7Op0OVVVVADoarORyOfz8/HD+/Hk0NDTg8OHDmD17tlPfa6zVaqFSqRAWFobExESb1nL16lWo1WpkZ2djwoQJOHXqFF566SWb1kT2x3n/NjsZw/7dni6cCA4Oxvr165GTk4P4+HgbVenY2traemywamtrAwB4enpCoVBg2bJlxhNv5waruro6+Pn5YcOGDSgpKXHa7VCVlZUIDAzEtGnTbHr39507d7Bz507s2LEDzz77LN577z2sXLnSqd8o0ZPjfzVOorvtUJ3HoVxdXREcHIysrCxoNBqn+cjTGgRBQE1NjUnwlpeXo7m5GUBH051SqcT8+fMRExMDpVIJX1/fRy76cHNzw/Hjx/GrX/0KwcHB+PDDD51uO1RDQwMWLlxo0/Gm9vZ25ObmQq1W48aNG9i0aRPUajUXtVCvMJCdiIuLy0P370ZGRiInJwdarRbTp0+3YaX2o7a21iR4dTodbt++DQD4yU9+AoVCgalTp0KlUkGpVPa6wUoulxub9dasWYOMjAyneQPV2tqKJUuW2HS86fPPP0dMTAzOnz+PV155BampqWavPiV6GAayk3lwO1TnE9bs2bPh6emJrKwsBvIDGhsbjSsCO/9z/fp1AMDTTz9tbLAKCAgwBq+np6dVwnLmzJnIyMhAWFgY5HI51Gq1xZ8hNobxJq1Wa5PxpkuXLmHz5s0oLCzECy+8gOLiYv49IYtiIDuhzvt3O184IZVKER4ejr1792L37t0YMGCArUvtcy0tLd02WH333XcAOhqsZDIZFAoF1qxZYwxemUzW5783NCwG0Wg08Pb2xrJly/r0+X3trbfeQmZmJnJzc/t0vOnmzZtISUnBnj17MGLECOTm5mLFihVcAEEWx0B2Ug/u3zWcsCIiIpCSkoKjR492GbFxNG1tbbh06ZLJx80XL140Nlh5eHhAoVDglVdeMQavj4+PqN6oJCYmQq/XQ6VSwcPDA/7+/rYuySr++te/Ij4+Hm+88QZCQ0P75Jn3799HWloakpKS8OOPPyI+Ph5xcXEYOHBgnzyfnA8D2YkZLpzofMIaN24c/P39kZWV5RCBbGiwevDEW1ZWZmywcnNzg1KpxLx587Bp0ybjDVb20KAjkUiwf/9+VFdXG+8ud7SF9lqtFpGRkQgPD0dCQkKfPPPkyZOIi4vDhQsXEBkZieTkZLi7u/fJs8l5MZCdnGH/bucTlkqlwrp163Dt2jVbl/dYamtrTYJXp9Ph1q1bADoarCZMmIApU6YgIiKiyw1W9twU5eLigsOHDxub9RxpHMow3vTLX/4S6enpVv/39O233yIuLg6nTp3Cr3/9a+Tm5uIXv/iFVZ9JZMBAdnIPboc6e/Ysli5dio0bNyI3NxcvvviirUs00dTU1G2D1X//+18AHQ1WPj4+UCqV+N3vfmcMXk9PT4f9vV/ncaglS5bg1KlTdj8OVV9fbxxvOnz4sFXHm27cuIHExESkpaVh7NixOHLkCAIDA+36jRrZHwYywcXFBUVFRfDz88OCBQtQUlKCoKAgZGVlYd68eTarq7W1tdsGq8uXLwPoeDMhk8mgVCoRHR1tDF6ZTIb+/fvbrG5b6TwOFR0djYMHD9ptoBi2N9XW1lp1vKmlpQV79uxBcnIypFIpdu7cifXr19v9mxmyTwxkAmB64cSmTZsQGBiI8vJyqz/b0GD1YPBevHgR9+/fBwCMHj0aSqUSv//9743BO378eFE1WInBg+NQGo3G1iU9NkEQEB0dDa1Wi9OnT0Mmk1nlGYWFhdi8eTOqq6vxhz/8AYmJiVwAQTbFQCajzicsDw8PjBw5Eh988IHFvr8gCLh69Wq3DVZ3794FAAwdOhRKpRJz587Fxo0bjQ1WP/3pTy1Wh6MLDQ1FZWUl4uPjMXbsWKxYscLWJT2WlJQUZGVl4dChQ5gxY4bFv/8XX3yB2NhYFBcXY+HChThx4gR8fHws/hyix8VApi5mzpyJAwcOIDw8AlOCVqHYRY5R636DhH/WIVp6FQET3SGVPvpj0Lq6um4brG7evAkAePbZZzFhwgRMnjwZYWFhxlPvz372M7v9mFVMEhISoNfrERUVBU9PT7u5wCI/Px8JCQl48803ERISYtHvXVNTA7VajZycHCiVSvz973/H/PnzLfoMot5gIJOJkJBQHChvx+V2N/Rrb4NE+hTKb7TijwX/h9MXfsCupZONodzU1ISysjKT4P3+++8BAP379zc2WC1YsMAYvF5eXg7bYCUGEokE6enpqKqqQlBQkF2MQ505cwaRkZGIiIiw6IKTO3fuYMeOHXjnnXfg6uqKffv2YeXKlXjqqacs9gwiS2Agk4kPvrmGy+0dTTQSacf/tNr/97Vj/7qGum/+iaZv/wmdTodLly51vO5/DVYKhQKrVq0yBq9cLnfKBisx6O7u8qFDh9q6rG7p9XoEBgbCz88PaWlpFvmUpL29HdnZ2VCr1aivr0dMTAy2bNmCQYMGWaBiIstjIJOJvHPVkEqAdsH0a0J7G4pvAL7/u+S/c4MVbzASn6FDh3Zp1hPjOJRhvMnNzc1i402ffvopYmNj8dVXX2HZsmXYvn07xowZ0/tiiayIgUwmahp+7DaMgY4T86jnJuFkRkzfFkVPTCaToaioCPPmzRPdOJRhe1NdXR1KS0t7fYLX6/XYvHkzjhw5gmnTpuHMmTMOe50oOR7+Eo9MjB4yED31bUklwOghHDWyNzNmzMDBgweRlZWFlJQUW5cDoKPrfvXq1SgpKUFRUVGvxptu3ryJuLg4+Pr64ssvv8ShQ4dQUlLCMCa7whMymQiZ5omzl+u7/Vq70PF1sj8hISGorKxEQkICvL29bT4OlZKSguzsbOTl5T3xeNO9e/ewb98+bN26Fc3NzUhKSkJsbCzn08ku8YRMJgImumPRpI6L9A0nZcOfiya5I2AiL9m3V/Hx8YiIiEBkZCTOnDljszo6jzc9yRsDQRBw4sQJTJw4ERs3bkRQUBAqKiqg0WgYxmS3eEImE1KpBLuWTsY8nxHIO1eNmoa7GD1kAEKmeZo9h0ziJJFIkJaWZry7vLS01Co3YT1McXFxr8abdDodYmNj8dFHH2HOnDnIz8/H5MmTLV8oUR9jIFO3pFIJAiePQuDkUbYuhSysu+1QfTUOpdfrERQUBD8/v8fe3nT9+nUkJSUhPT0d3t7eOHr0KAICAkTToEbUW/zImsgJGcah6urqsGTJErS2tlr9mQ+ON5k7ftXc3Izt27dDLpejoKAAf/7zn6HT6bBo0SKGMTkUBjKRk5LJZDh69ChKSkqwevVqCEIPs24W0NLSgsWLF6Ourg4nTpww60QuCALef/99jB8/HgkJCYiKioJer8emTZtEN0tNZAkMZCInNn36dGRmZiI7OxvJyclWeYZhvKm0tBRHjx416wrPc+fOYcaMGVi2bBmUSiV0Oh12795ttTWMRGLA3yETObkVK1Z0GYey9FKH5ORk5OTkIC8v75FLLq5cuYItW7bg0KFDmDhxIj7++GOb7uQm6ksMZCKCRqPpsh3KUmsP8/LykJiYiG3btj10vKmpqQmpqanYuXMnBg8ejPT0dERFRXEBBDkVfmRNRMZxKH9/fwQFBUGv1/f6exYXFyMqKgoqlQoajabb17S1tSEjIwNyuRzvvPMOYmNjUVFRgVWrVjGMyekwkIkIAPD000+jsLAQbm5uWLhwIerru7+tzRyG8SZ/f/8etzf94x//wPPPP4+VK1di9uzZ+M9//oOUlBS4urr25scgslsMZCIyGjp0KE6cOIH6+nosXrwYLS0tj/096urqsGDBAgwbNgyFhYUmHdEVFRUICgrC3Llz8cwzz0Cr1SI/Px9eXl6W+jGI7BIDmYi68Pb2RlFREUpLSx97HKqlpQVLlixBQ0MDjh8/3mW8qaGhATExMfD19cXXX3+N/Px8aLVa+Pn5WePHILI7DGQiMmEYh8rJyTF7HMow3nT27FkUFRUZx5vu3buHvXv3QiaTYf/+/XjzzTdx4cIFLF++nBd7EHXCLmsi6tbjjkNt27YNOTk5yM/Px/Tp0yEIAo4fP47XX38dFy9exMqVK7Ft2zaMHDmyj34CIvvCEzIR9Uij0UClUiEqKgrFxcU9vu7QoUNISkpCcnIyli9fjm+++Qbz589HQEAARo8eja+//hrp6ekMY6KHYCATUY8eHIeqqKgwec3nn3+OV199FSqVCq+++ipWr16NKVOm4MqVKzh27Bg++ugjTJo0yQbVE9kXiWBGx8bt27cxePBg3Lp1C4MGDeqLuohIROrr6+Hv74+2dgFbM44h71w1/qWvwXOjh0FX9B7GPdOIl196Campqejfvz+2bt2KdevWoX///rYuncjmzM1QBjIRmaVCr8ecLZnoJ/ODBIAAQGhvg0T6FITL53Ct8G1s2LAeCQkJfbbOkcgemJuhbOoiIrOUNQ1AP1nHiJLhXbxE2nGbluTn0/DuByVY85upNqqOyP7xd8hEZJa8c9WQ9jClJJUAn1Rbf6cykSNjIBORWWoafkR7D7/gaheAmoa7fVsQkYNhIBORWUYPGfjQE/LoIQP6tiAiB8NAJiKzhEzzfOgJOWSaZ98WRORgGMhEZJaAie5YNMkdAIwnZcOfiya5I2Ciu40qI3IM7LImIrNIpRLsWjoZ83xGIO9cNWoa7mL0kAEImeaJgInukPb0eTYRmYWBTERmk0olCJw8CoGTR9m6FCKHw4+siYiIRICBTEREJAIMZCIiIhFgIBMREYkAA5mIiEgEGMhEREQiwEAmIiISAQYyERGRCDCQiYiIRICBTEREJAIMZCIiIhFgIBMREYkAA5mIiEgEGMhEREQiwEAmIiISAQYyERGRCDCQiYiIRICBTEREJAIMZCIiIhFgIBMREYkAA5mIiEgEGMhEREQiwEAmIiISAQYyERGRCDCQiYiIRICBTEREJAIMZCIiIhFgIBMREYkAA5mIiEgEGMhEREQiwEAmIiISAQYyERGRCDCQiYiIRKCfOS8SBAEAcPv2basWQ0RE5GgM2WnI0p6YFciNjY0AAA8Pj16WRURE5JwaGxsxePDgHr8uER4V2QDa29tx7do1uLq6QiKRWLRAIiIiRyYIAhobG+Hu7g6ptOffFJsVyERERGRdbOoiIiISAQYyERGRCDCQiYiIRICBTEREJAIMZCIiIhFgIBMREYkAA5mIiEgE/h/C0yG2ti1mbgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 环形布局\n",
    "pos = nx.circular_layout(G)\n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G, \n",
    "                 pos = pos,\n",
    "                 with_labels = False,\n",
    "                 node_size = 28) \n",
    "plt.savefig('图.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84af3552-b625-405a-b460-bf3314cd8402",
   "metadata": {},
   "source": [
    "## 补图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "44dbb466-dad4-44f4-9240-ffa773df24b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_complement = nx.complement(G)\n",
    "# 补图\n",
    "\n",
    "# 可视化补图\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G_complement, \n",
    "                 pos = pos,\n",
    "                 with_labels = False,\n",
    "                 node_size = 28) \n",
    "plt.savefig('补图.svg')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
